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Finding the Fourth Proportional to 383,853.17, 575,853.57 and 147,177.39

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Solution

The fourth proportional to 383,853.17, 575,853.57 and 147,177.39 is: 220,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,853.17 : 575,853.57 = 147,177.39 : x
  2. Step 2: Convert to fraction form
    383,853.17/575,853.57 = 147,177.39/x
  3. Step 3: Cross multiply
    383,853.17x = 575,853.57 × 147,177.39
  4. Step 4: Simplify right side
    383,853.17x = 84,752,625,454.78
  5. Step 5: Solve for x
    x = 84,752,625,454.78/383,853.17
  6. Step 6: Final answer
    x = 220,794.39

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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.