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Finding the Fourth Proportional to 526,799.65, 726,985.36 and 285,082.17

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Solution

The fourth proportional to 526,799.65, 726,985.36 and 285,082.17 is: 393,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,799.65 : 726,985.36 = 285,082.17 : x
  2. Step 2: Convert to fraction form
    526,799.65/726,985.36 = 285,082.17/x
  3. Step 3: Cross multiply
    526,799.65x = 726,985.36 × 285,082.17
  4. Step 4: Simplify right side
    526,799.65x = 207,250,563,987.03
  5. Step 5: Solve for x
    x = 207,250,563,987.03/526,799.65
  6. Step 6: Final answer
    x = 393,414.39

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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.