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Finding the Fourth Proportional to 391,002.40, 586,114.80 and 180,272.80

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Solution

The fourth proportional to 391,002.40, 586,114.80 and 180,272.80 is: 270,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,002.40 : 586,114.80 = 180,272.80 : x
  2. Step 2: Convert to fraction form
    391,002.40/586,114.80 = 180,272.80/x
  3. Step 3: Cross multiply
    391,002.40x = 586,114.80 × 180,272.80
  4. Step 4: Simplify right side
    391,002.40x = 105,660,556,117.44
  5. Step 5: Solve for x
    x = 105,660,556,117.44/391,002.40
  6. Step 6: Final answer
    x = 270,229.94

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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.