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Finding the Fourth Proportional to 410,407.53, 566,201.52 and 238,296.12

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Solution

The fourth proportional to 410,407.53, 566,201.52 and 238,296.12 is: 328,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,407.53 : 566,201.52 = 238,296.12 : x
  2. Step 2: Convert to fraction form
    410,407.53/566,201.52 = 238,296.12/x
  3. Step 3: Cross multiply
    410,407.53x = 566,201.52 × 238,296.12
  4. Step 4: Simplify right side
    410,407.53x = 134,923,625,354.10
  5. Step 5: Solve for x
    x = 134,923,625,354.10/410,407.53
  6. Step 6: Final answer
    x = 328,755.24

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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.