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Finding the Fourth Proportional to 517,836.48, 714,657.12 and 288,437.76

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Solution

The fourth proportional to 517,836.48, 714,657.12 and 288,437.76 is: 398,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,836.48 : 714,657.12 = 288,437.76 : x
  2. Step 2: Convert to fraction form
    517,836.48/714,657.12 = 288,437.76/x
  3. Step 3: Cross multiply
    517,836.48x = 714,657.12 × 288,437.76
  4. Step 4: Simplify right side
    517,836.48x = 206,134,098,860.85
  5. Step 5: Solve for x
    x = 206,134,098,860.85/517,836.48
  6. Step 6: Final answer
    x = 398,067.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.