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Finding the Fourth Proportional to 437,883.83, 656,430.46 and 157,335.47

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Solution

The fourth proportional to 437,883.83, 656,430.46 and 157,335.47 is: 235,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,883.83 : 656,430.46 = 157,335.47 : x
  2. Step 2: Convert to fraction form
    437,883.83/656,430.46 = 157,335.47/x
  3. Step 3: Cross multiply
    437,883.83x = 656,430.46 × 157,335.47
  4. Step 4: Simplify right side
    437,883.83x = 103,279,794,946.42
  5. Step 5: Solve for x
    x = 103,279,794,946.42/437,883.83
  6. Step 6: Final answer
    x = 235,861.18

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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.