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Finding the Fourth Proportional to 651,638.70, 977,458.05 and 651,638.70

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Solution

The fourth proportional to 651,638.70, 977,458.05 and 651,638.70 is: 977,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,638.70 : 977,458.05 = 651,638.70 : x
  2. Step 2: Convert to fraction form
    651,638.70/977,458.05 = 651,638.70/x
  3. Step 3: Cross multiply
    651,638.70x = 977,458.05 × 651,638.70
  4. Step 4: Simplify right side
    651,638.70x = 636,949,493,006.54
  5. Step 5: Solve for x
    x = 636,949,493,006.54/651,638.70
  6. Step 6: Final answer
    x = 977,458.05

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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.