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Finding the Fourth Proportional to 715,108.96, 986,801.70 and 392,832.64

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Solution

The fourth proportional to 715,108.96, 986,801.70 and 392,832.64 is: 542,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,108.96 : 986,801.70 = 392,832.64 : x
  2. Step 2: Convert to fraction form
    715,108.96/986,801.70 = 392,832.64/x
  3. Step 3: Cross multiply
    715,108.96x = 986,801.70 × 392,832.64
  4. Step 4: Simplify right side
    715,108.96x = 387,647,916,967.49
  5. Step 5: Solve for x
    x = 387,647,916,967.49/715,108.96
  6. Step 6: Final answer
    x = 542,082.31

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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.