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Finding the Fourth Proportional to 306,470.97, 460,132.92 and 156,814.56

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Solution

The fourth proportional to 306,470.97, 460,132.92 and 156,814.56 is: 235,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,470.97 : 460,132.92 = 156,814.56 : x
  2. Step 2: Convert to fraction form
    306,470.97/460,132.92 = 156,814.56/x
  3. Step 3: Cross multiply
    306,470.97x = 460,132.92 × 156,814.56
  4. Step 4: Simplify right side
    306,470.97x = 72,155,541,391.32
  5. Step 5: Solve for x
    x = 72,155,541,391.32/306,470.97
  6. Step 6: Final answer
    x = 235,440.05

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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.