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Finding the Fourth Proportional to 840,689.11, 1,160,176.53 and 478,165.11

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Solution

The fourth proportional to 840,689.11, 1,160,176.53 and 478,165.11 is: 659,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,689.11 : 1,160,176.53 = 478,165.11 : x
  2. Step 2: Convert to fraction form
    840,689.11/1,160,176.53 = 478,165.11/x
  3. Step 3: Cross multiply
    840,689.11x = 1,160,176.53 × 478,165.11
  4. Step 4: Simplify right side
    840,689.11x = 554,755,935,529.33
  5. Step 5: Solve for x
    x = 554,755,935,529.33/840,689.11
  6. Step 6: Final answer
    x = 659,882.38

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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.