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Finding the Fourth Proportional to 684,758.31, 944,965.75 and 382,952.31

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Solution

The fourth proportional to 684,758.31, 944,965.75 and 382,952.31 is: 528,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,758.31 : 944,965.75 = 382,952.31 : x
  2. Step 2: Convert to fraction form
    684,758.31/944,965.75 = 382,952.31/x
  3. Step 3: Cross multiply
    684,758.31x = 944,965.75 × 382,952.31
  4. Step 4: Simplify right side
    684,758.31x = 361,876,816,833.38
  5. Step 5: Solve for x
    x = 361,876,816,833.38/684,758.31
  6. Step 6: Final answer
    x = 528,473.79

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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.