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Finding the Fourth Proportional to 541,974.38, 746,720.30 and 357,886.08

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Solution

The fourth proportional to 541,974.38, 746,720.30 and 357,886.08 is: 493,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,974.38 : 746,720.30 = 357,886.08 : x
  2. Step 2: Convert to fraction form
    541,974.38/746,720.30 = 357,886.08/x
  3. Step 3: Cross multiply
    541,974.38x = 746,720.30 × 357,886.08
  4. Step 4: Simplify right side
    541,974.38x = 267,240,801,918.14
  5. Step 5: Solve for x
    x = 267,240,801,918.14/541,974.38
  6. Step 6: Final answer
    x = 493,087.52

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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.