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Finding the Fourth Proportional to 416,031.74, 574,126.61 and 254,887.10

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Solution

The fourth proportional to 416,031.74, 574,126.61 and 254,887.10 is: 351,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,031.74 : 574,126.61 = 254,887.10 : x
  2. Step 2: Convert to fraction form
    416,031.74/574,126.61 = 254,887.10/x
  3. Step 3: Cross multiply
    416,031.74x = 574,126.61 × 254,887.10
  4. Step 4: Simplify right side
    416,031.74x = 146,337,466,655.73
  5. Step 5: Solve for x
    x = 146,337,466,655.73/416,031.74
  6. Step 6: Final answer
    x = 351,745.92

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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.