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Finding the Fourth Proportional to 391,314.60, 587,097.86 and 178,158.80

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Solution

The fourth proportional to 391,314.60, 587,097.86 and 178,158.80 is: 267,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,314.60 : 587,097.86 = 178,158.80 : x
  2. Step 2: Convert to fraction form
    391,314.60/587,097.86 = 178,158.80/x
  3. Step 3: Cross multiply
    391,314.60x = 587,097.86 × 178,158.80
  4. Step 4: Simplify right side
    391,314.60x = 104,596,650,220.17
  5. Step 5: Solve for x
    x = 104,596,650,220.17/391,314.60
  6. Step 6: Final answer
    x = 267,295.55

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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.