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Finding the Fourth Proportional to 391,026.40, 586,150.80 and 180,296.80

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Solution

The fourth proportional to 391,026.40, 586,150.80 and 180,296.80 is: 270,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,026.40 : 586,150.80 = 180,296.80 : x
  2. Step 2: Convert to fraction form
    391,026.40/586,150.80 = 180,296.80/x
  3. Step 3: Cross multiply
    391,026.40x = 586,150.80 × 180,296.80
  4. Step 4: Simplify right side
    391,026.40x = 105,681,113,557.44
  5. Step 5: Solve for x
    x = 105,681,113,557.44/391,026.40
  6. Step 6: Final answer
    x = 270,265.93

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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.