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Finding the Fourth Proportional to 535,470.75, 803,451.15 and 231,957.68

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Solution

The fourth proportional to 535,470.75, 803,451.15 and 231,957.68 is: 348,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,470.75 : 803,451.15 = 231,957.68 : x
  2. Step 2: Convert to fraction form
    535,470.75/803,451.15 = 231,957.68/x
  3. Step 3: Cross multiply
    535,470.75x = 803,451.15 × 231,957.68
  4. Step 4: Simplify right side
    535,470.75x = 186,366,660,730.08
  5. Step 5: Solve for x
    x = 186,366,660,730.08/535,470.75
  6. Step 6: Final answer
    x = 348,042.65

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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.