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Finding the Fourth Proportional to 437,871.60, 656,807.40 and 157,417.20

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Solution

The fourth proportional to 437,871.60, 656,807.40 and 157,417.20 is: 236,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,871.60 : 656,807.40 = 157,417.20 : x
  2. Step 2: Convert to fraction form
    437,871.60/656,807.40 = 157,417.20/x
  3. Step 3: Cross multiply
    437,871.60x = 656,807.40 × 157,417.20
  4. Step 4: Simplify right side
    437,871.60x = 103,392,781,847.28
  5. Step 5: Solve for x
    x = 103,392,781,847.28/437,871.60
  6. Step 6: Final answer
    x = 236,125.80

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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.