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Finding the Fourth Proportional to 337,755.84, 466,031.52 and 201,753.60

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Solution

The fourth proportional to 337,755.84, 466,031.52 and 201,753.60 is: 278,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,755.84 : 466,031.52 = 201,753.60 : x
  2. Step 2: Convert to fraction form
    337,755.84/466,031.52 = 201,753.60/x
  3. Step 3: Cross multiply
    337,755.84x = 466,031.52 × 201,753.60
  4. Step 4: Simplify right side
    337,755.84x = 94,023,536,873.47
  5. Step 5: Solve for x
    x = 94,023,536,873.47/337,755.84
  6. Step 6: Final answer
    x = 278,377.24

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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.