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Finding the Fourth Proportional to 437,498.10, 656,247.15 and 156,978.90

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Solution

The fourth proportional to 437,498.10, 656,247.15 and 156,978.90 is: 235,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,498.10 : 656,247.15 = 156,978.90 : x
  2. Step 2: Convert to fraction form
    437,498.10/656,247.15 = 156,978.90/x
  3. Step 3: Cross multiply
    437,498.10x = 656,247.15 × 156,978.90
  4. Step 4: Simplify right side
    437,498.10x = 103,016,955,735.14
  5. Step 5: Solve for x
    x = 103,016,955,735.14/437,498.10
  6. Step 6: Final answer
    x = 235,468.35

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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.