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Finding the Fourth Proportional to 437,568.60, 656,352.90 and 157,114.20

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Solution

The fourth proportional to 437,568.60, 656,352.90 and 157,114.20 is: 235,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,568.60 : 656,352.90 = 157,114.20 : x
  2. Step 2: Convert to fraction form
    437,568.60/656,352.90 = 157,114.20/x
  3. Step 3: Cross multiply
    437,568.60x = 656,352.90 × 157,114.20
  4. Step 4: Simplify right side
    437,568.60x = 103,122,360,801.18
  5. Step 5: Solve for x
    x = 103,122,360,801.18/437,568.60
  6. Step 6: Final answer
    x = 235,671.30

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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.