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Finding the Fourth Proportional to 753,459, 1,039,773.84 and 413,949.12

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Solution

The fourth proportional to 753,459, 1,039,773.84 and 413,949.12 is: 571,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,459 : 1,039,773.84 = 413,949.12 : x
  2. Step 2: Convert to fraction form
    753,459/1,039,773.84 = 413,949.12/x
  3. Step 3: Cross multiply
    753,459x = 1,039,773.84 × 413,949.12
  4. Step 4: Simplify right side
    753,459x = 430,413,466,067.02
  5. Step 5: Solve for x
    x = 430,413,466,067.02/753,459
  6. Step 6: Final answer
    x = 571,250.02

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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.