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Finding the Fourth Proportional to 410,051.60, 615,077.40 and 251,766.80

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Solution

The fourth proportional to 410,051.60, 615,077.40 and 251,766.80 is: 377,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,051.60 : 615,077.40 = 251,766.80 : x
  2. Step 2: Convert to fraction form
    410,051.60/615,077.40 = 251,766.80/x
  3. Step 3: Cross multiply
    410,051.60x = 615,077.40 × 251,766.80
  4. Step 4: Simplify right side
    410,051.60x = 154,856,068,750.32
  5. Step 5: Solve for x
    x = 154,856,068,750.32/410,051.60
  6. Step 6: Final answer
    x = 377,650.20

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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.