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Finding the Fourth Proportional to 462,470.28, 693,677.74 and 125,503.47

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Solution

The fourth proportional to 462,470.28, 693,677.74 and 125,503.47 is: 188,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,470.28 : 693,677.74 = 125,503.47 : x
  2. Step 2: Convert to fraction form
    462,470.28/693,677.74 = 125,503.47/x
  3. Step 3: Cross multiply
    462,470.28x = 693,677.74 × 125,503.47
  4. Step 4: Simplify right side
    462,470.28x = 87,058,965,523.70
  5. Step 5: Solve for x
    x = 87,058,965,523.70/462,470.28
  6. Step 6: Final answer
    x = 188,247.70

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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.