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Finding the Fourth Proportional to 437,517.42, 656,308.29 and 157,037.10

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Solution

The fourth proportional to 437,517.42, 656,308.29 and 157,037.10 is: 235,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,517.42 : 656,308.29 = 157,037.10 : x
  2. Step 2: Convert to fraction form
    437,517.42/656,308.29 = 157,037.10/x
  3. Step 3: Cross multiply
    437,517.42x = 656,308.29 × 157,037.10
  4. Step 4: Simplify right side
    437,517.42x = 103,064,750,567.56
  5. Step 5: Solve for x
    x = 103,064,750,567.56/437,517.42
  6. Step 6: Final answer
    x = 235,567.19

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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.