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Finding the Fourth Proportional to 498,470.85, 747,706.28 and 364,626.45

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Solution

The fourth proportional to 498,470.85, 747,706.28 and 364,626.45 is: 546,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,470.85 : 747,706.28 = 364,626.45 : x
  2. Step 2: Convert to fraction form
    498,470.85/747,706.28 = 364,626.45/x
  3. Step 3: Cross multiply
    498,470.85x = 747,706.28 × 364,626.45
  4. Step 4: Simplify right side
    498,470.85x = 272,633,484,695.97
  5. Step 5: Solve for x
    x = 272,633,484,695.97/498,470.85
  6. Step 6: Final answer
    x = 546,939.68

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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.