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Finding the Fourth Proportional to 383,843.80, 575,279.70 and 146,870.20

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Solution

The fourth proportional to 383,843.80, 575,279.70 and 146,870.20 is: 220,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,843.80 : 575,279.70 = 146,870.20 : x
  2. Step 2: Convert to fraction form
    383,843.80/575,279.70 = 146,870.20/x
  3. Step 3: Cross multiply
    383,843.80x = 575,279.70 × 146,870.20
  4. Step 4: Simplify right side
    383,843.80x = 84,491,444,594.94
  5. Step 5: Solve for x
    x = 84,491,444,594.94/383,843.80
  6. Step 6: Final answer
    x = 220,119.34

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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.