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Finding the Fourth Proportional to 337,653.48, 506,255.20 and 185,922

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Solution

The fourth proportional to 337,653.48, 506,255.20 and 185,922 is: 278,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,653.48 : 506,255.20 = 185,922 : x
  2. Step 2: Convert to fraction form
    337,653.48/506,255.20 = 185,922/x
  3. Step 3: Cross multiply
    337,653.48x = 506,255.20 × 185,922
  4. Step 4: Simplify right side
    337,653.48x = 94,123,979,294.40
  5. Step 5: Solve for x
    x = 94,123,979,294.40/337,653.48
  6. Step 6: Final answer
    x = 278,759.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.