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Finding the Fourth Proportional to 337,786.52, 506,854.86 and 148,380.08

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Solution

The fourth proportional to 337,786.52, 506,854.86 and 148,380.08 is: 222,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,786.52 : 506,854.86 = 148,380.08 : x
  2. Step 2: Convert to fraction form
    337,786.52/506,854.86 = 148,380.08/x
  3. Step 3: Cross multiply
    337,786.52x = 506,854.86 × 148,380.08
  4. Step 4: Simplify right side
    337,786.52x = 75,207,164,675.19
  5. Step 5: Solve for x
    x = 75,207,164,675.19/337,786.52
  6. Step 6: Final answer
    x = 222,647.03

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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.