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Finding the Fourth Proportional to 462,470.91, 693,678.68 and 125,504.10

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Solution

The fourth proportional to 462,470.91, 693,678.68 and 125,504.10 is: 188,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,470.91 : 693,678.68 = 125,504.10 : x
  2. Step 2: Convert to fraction form
    462,470.91/693,678.68 = 125,504.10/x
  3. Step 3: Cross multiply
    462,470.91x = 693,678.68 × 125,504.10
  4. Step 4: Simplify right side
    462,470.91x = 87,059,518,422.59
  5. Step 5: Solve for x
    x = 87,059,518,422.59/462,470.91
  6. Step 6: Final answer
    x = 188,248.64

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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.