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Finding the Fourth Proportional to 632,657.52, 949,096.98 and 408,234.42

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Solution

The fourth proportional to 632,657.52, 949,096.98 and 408,234.42 is: 612,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,657.52 : 949,096.98 = 408,234.42 : x
  2. Step 2: Convert to fraction form
    632,657.52/949,096.98 = 408,234.42/x
  3. Step 3: Cross multiply
    632,657.52x = 949,096.98 × 408,234.42
  4. Step 4: Simplify right side
    632,657.52x = 387,454,055,154.05
  5. Step 5: Solve for x
    x = 387,454,055,154.05/632,657.52
  6. Step 6: Final answer
    x = 612,423.06

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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.