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Finding the Fourth Proportional to 584,686.16, 806,866.89 and 316,414.16

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Solution

The fourth proportional to 584,686.16, 806,866.89 and 316,414.16 is: 436,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,686.16 : 806,866.89 = 316,414.16 : x
  2. Step 2: Convert to fraction form
    584,686.16/806,866.89 = 316,414.16/x
  3. Step 3: Cross multiply
    584,686.16x = 806,866.89 × 316,414.16
  4. Step 4: Simplify right side
    584,686.16x = 255,304,105,196.83
  5. Step 5: Solve for x
    x = 255,304,105,196.83/584,686.16
  6. Step 6: Final answer
    x = 436,651.53

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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.