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Finding the Fourth Proportional to 359,869.12, 539,990.52 and 146,793.40

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Solution

The fourth proportional to 359,869.12, 539,990.52 and 146,793.40 is: 220,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,869.12 : 539,990.52 = 146,793.40 : x
  2. Step 2: Convert to fraction form
    359,869.12/539,990.52 = 146,793.40/x
  3. Step 3: Cross multiply
    359,869.12x = 539,990.52 × 146,793.40
  4. Step 4: Simplify right side
    359,869.12x = 79,267,044,398.57
  5. Step 5: Solve for x
    x = 79,267,044,398.57/359,869.12
  6. Step 6: Final answer
    x = 220,266.31

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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.