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Finding the Fourth Proportional to 437,542.60, 656,313.90 and 157,023.40

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Solution

The fourth proportional to 437,542.60, 656,313.90 and 157,023.40 is: 235,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,542.60 : 656,313.90 = 157,023.40 : x
  2. Step 2: Convert to fraction form
    437,542.60/656,313.90 = 157,023.40/x
  3. Step 3: Cross multiply
    437,542.60x = 656,313.90 × 157,023.40
  4. Step 4: Simplify right side
    437,542.60x = 103,056,640,045.26
  5. Step 5: Solve for x
    x = 103,056,640,045.26/437,542.60
  6. Step 6: Final answer
    x = 235,535.10

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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.