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Finding the Fourth Proportional to 382,614.20, 573,921.30 and 323,565.20

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Solution

The fourth proportional to 382,614.20, 573,921.30 and 323,565.20 is: 485,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,614.20 : 573,921.30 = 323,565.20 : x
  2. Step 2: Convert to fraction form
    382,614.20/573,921.30 = 323,565.20/x
  3. Step 3: Cross multiply
    382,614.20x = 573,921.30 × 323,565.20
  4. Step 4: Simplify right side
    382,614.20x = 185,700,960,218.76
  5. Step 5: Solve for x
    x = 185,700,960,218.76/382,614.20
  6. Step 6: Final answer
    x = 485,347.80

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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.