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Finding the Fourth Proportional to 702,781.86, 969,821.01 and 392,686.86

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Solution

The fourth proportional to 702,781.86, 969,821.01 and 392,686.86 is: 541,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,781.86 : 969,821.01 = 392,686.86 : x
  2. Step 2: Convert to fraction form
    702,781.86/969,821.01 = 392,686.86/x
  3. Step 3: Cross multiply
    702,781.86x = 969,821.01 × 392,686.86
  4. Step 4: Simplify right side
    702,781.86x = 380,835,967,178.93
  5. Step 5: Solve for x
    x = 380,835,967,178.93/702,781.86
  6. Step 6: Final answer
    x = 541,897.83

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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.