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Finding the Fourth Proportional to 714,508.91, 986,018.41 and 392,224.49

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Solution

The fourth proportional to 714,508.91, 986,018.41 and 392,224.49 is: 541,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,508.91 : 986,018.41 = 392,224.49 : x
  2. Step 2: Convert to fraction form
    714,508.91/986,018.41 = 392,224.49/x
  3. Step 3: Cross multiply
    714,508.91x = 986,018.41 × 392,224.49
  4. Step 4: Simplify right side
    714,508.91x = 386,740,567,250.62
  5. Step 5: Solve for x
    x = 386,740,567,250.62/714,508.91
  6. Step 6: Final answer
    x = 541,267.66

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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.