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Finding the Fourth Proportional to 382,711.80, 574,067.70 and 98,401.80

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Solution

The fourth proportional to 382,711.80, 574,067.70 and 98,401.80 is: 147,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,711.80 : 574,067.70 = 98,401.80 : x
  2. Step 2: Convert to fraction form
    382,711.80/574,067.70 = 98,401.80/x
  3. Step 3: Cross multiply
    382,711.80x = 574,067.70 × 98,401.80
  4. Step 4: Simplify right side
    382,711.80x = 56,489,295,001.86
  5. Step 5: Solve for x
    x = 56,489,295,001.86/382,711.80
  6. Step 6: Final answer
    x = 147,602.70

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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.