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Finding the Fourth Proportional to 497,683.60, 746,525.40 and 409,037.20

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Solution

The fourth proportional to 497,683.60, 746,525.40 and 409,037.20 is: 613,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,683.60 : 746,525.40 = 409,037.20 : x
  2. Step 2: Convert to fraction form
    497,683.60/746,525.40 = 409,037.20/x
  3. Step 3: Cross multiply
    497,683.60x = 746,525.40 × 409,037.20
  4. Step 4: Simplify right side
    497,683.60x = 305,356,659,344.88
  5. Step 5: Solve for x
    x = 305,356,659,344.88/497,683.60
  6. Step 6: Final answer
    x = 613,555.80

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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.