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Finding the Fourth Proportional to 437,884.83, 656,431.96 and 157,336.47

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Solution

The fourth proportional to 437,884.83, 656,431.96 and 157,336.47 is: 235,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,884.83 : 656,431.96 = 157,336.47 : x
  2. Step 2: Convert to fraction form
    437,884.83/656,431.96 = 157,336.47/x
  3. Step 3: Cross multiply
    437,884.83x = 656,431.96 × 157,336.47
  4. Step 4: Simplify right side
    437,884.83x = 103,280,687,381.58
  5. Step 5: Solve for x
    x = 103,280,687,381.58/437,884.83
  6. Step 6: Final answer
    x = 235,862.68

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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.