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Finding the Fourth Proportional to 714,708.69, 986,299.91 and 392,439.66

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Solution

The fourth proportional to 714,708.69, 986,299.91 and 392,439.66 is: 541,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,708.69 : 986,299.91 = 392,439.66 : x
  2. Step 2: Convert to fraction form
    714,708.69/986,299.91 = 392,439.66/x
  3. Step 3: Cross multiply
    714,708.69x = 986,299.91 × 392,439.66
  4. Step 4: Simplify right side
    714,708.69x = 387,063,201,338.43
  5. Step 5: Solve for x
    x = 387,063,201,338.43/714,708.69
  6. Step 6: Final answer
    x = 541,567.78

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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.