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Finding the Fourth Proportional to 498,407.07, 747,574.46 and 194,744.15

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Solution

The fourth proportional to 498,407.07, 747,574.46 and 194,744.15 is: 292,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,407.07 : 747,574.46 = 194,744.15 : x
  2. Step 2: Convert to fraction form
    498,407.07/747,574.46 = 194,744.15/x
  3. Step 3: Cross multiply
    498,407.07x = 747,574.46 × 194,744.15
  4. Step 4: Simplify right side
    498,407.07x = 145,585,752,691.95
  5. Step 5: Solve for x
    x = 145,585,752,691.95/498,407.07
  6. Step 6: Final answer
    x = 292,102.10

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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.