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Finding the Fourth Proportional to 437,514.92, 656,304.54 and 157,034.60

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Solution

The fourth proportional to 437,514.92, 656,304.54 and 157,034.60 is: 235,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,514.92 : 656,304.54 = 157,034.60 : x
  2. Step 2: Convert to fraction form
    437,514.92/656,304.54 = 157,034.60/x
  3. Step 3: Cross multiply
    437,514.92x = 656,304.54 × 157,034.60
  4. Step 4: Simplify right side
    437,514.92x = 103,062,520,917.08
  5. Step 5: Solve for x
    x = 103,062,520,917.08/437,514.92
  6. Step 6: Final answer
    x = 235,563.44

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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.