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Finding the Fourth Proportional to 410,422.60, 615,633.90 and 144,094.60

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Solution

The fourth proportional to 410,422.60, 615,633.90 and 144,094.60 is: 216,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,422.60 : 615,633.90 = 144,094.60 : x
  2. Step 2: Convert to fraction form
    410,422.60/615,633.90 = 144,094.60/x
  3. Step 3: Cross multiply
    410,422.60x = 615,633.90 × 144,094.60
  4. Step 4: Simplify right side
    410,422.60x = 88,709,520,566.94
  5. Step 5: Solve for x
    x = 88,709,520,566.94/410,422.60
  6. Step 6: Final answer
    x = 216,141.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.