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Finding the Fourth Proportional to 384,652.80, 576,979.20 and 100,342.80

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Solution

The fourth proportional to 384,652.80, 576,979.20 and 100,342.80 is: 150,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,652.80 : 576,979.20 = 100,342.80 : x
  2. Step 2: Convert to fraction form
    384,652.80/576,979.20 = 100,342.80/x
  3. Step 3: Cross multiply
    384,652.80x = 576,979.20 × 100,342.80
  4. Step 4: Simplify right side
    384,652.80x = 57,895,708,469.76
  5. Step 5: Solve for x
    x = 57,895,708,469.76/384,652.80
  6. Step 6: Final answer
    x = 150,514.20

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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.