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Finding the Fourth Proportional to 382,651.40, 573,977.10 and 146,001.80

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Solution

The fourth proportional to 382,651.40, 573,977.10 and 146,001.80 is: 219,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,651.40 : 573,977.10 = 146,001.80 : x
  2. Step 2: Convert to fraction form
    382,651.40/573,977.10 = 146,001.80/x
  3. Step 3: Cross multiply
    382,651.40x = 573,977.10 × 146,001.80
  4. Step 4: Simplify right side
    382,651.40x = 83,801,689,758.78
  5. Step 5: Solve for x
    x = 83,801,689,758.78/382,651.40
  6. Step 6: Final answer
    x = 219,002.70

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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.