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Finding the Fourth Proportional to 651,424.60, 977,136.90 and 427,475.80

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Solution

The fourth proportional to 651,424.60, 977,136.90 and 427,475.80 is: 641,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,424.60 : 977,136.90 = 427,475.80 : x
  2. Step 2: Convert to fraction form
    651,424.60/977,136.90 = 427,475.80/x
  3. Step 3: Cross multiply
    651,424.60x = 977,136.90 × 427,475.80
  4. Step 4: Simplify right side
    651,424.60x = 417,702,378,037.02
  5. Step 5: Solve for x
    x = 417,702,378,037.02/651,424.60
  6. Step 6: Final answer
    x = 641,213.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.