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Finding the Fourth Proportional to 410,147.59, 615,178.02 and 110,609.66

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Solution

The fourth proportional to 410,147.59, 615,178.02 and 110,609.66 is: 165,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.59 : 615,178.02 = 110,609.66 : x
  2. Step 2: Convert to fraction form
    410,147.59/615,178.02 = 110,609.66/x
  3. Step 3: Cross multiply
    410,147.59x = 615,178.02 × 110,609.66
  4. Step 4: Simplify right side
    410,147.59x = 68,044,631,631.67
  5. Step 5: Solve for x
    x = 68,044,631,631.67/410,147.59
  6. Step 6: Final answer
    x = 165,902.80

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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.