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Finding the Fourth Proportional to 678,214.86, 935,902.67 and 391,717.86

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Solution

The fourth proportional to 678,214.86, 935,902.67 and 391,717.86 is: 540,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,214.86 : 935,902.67 = 391,717.86 : x
  2. Step 2: Convert to fraction form
    678,214.86/935,902.67 = 391,717.86/x
  3. Step 3: Cross multiply
    678,214.86x = 935,902.67 × 391,717.86
  4. Step 4: Simplify right side
    678,214.86x = 366,609,789,102.10
  5. Step 5: Solve for x
    x = 366,609,789,102.10/678,214.86
  6. Step 6: Final answer
    x = 540,551.10

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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.