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Finding the Fourth Proportional to 382,023.04, 573,033.92 and 101,540.30

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Solution

The fourth proportional to 382,023.04, 573,033.92 and 101,540.30 is: 152,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,023.04 : 573,033.92 = 101,540.30 : x
  2. Step 2: Convert to fraction form
    382,023.04/573,033.92 = 101,540.30/x
  3. Step 3: Cross multiply
    382,023.04x = 573,033.92 × 101,540.30
  4. Step 4: Simplify right side
    382,023.04x = 58,186,036,146.98
  5. Step 5: Solve for x
    x = 58,186,036,146.98/382,023.04
  6. Step 6: Final answer
    x = 152,310.28

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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.