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Finding the Fourth Proportional to 415,930.60, 623,996.70 and 120,442.60

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Solution

The fourth proportional to 415,930.60, 623,996.70 and 120,442.60 is: 180,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,930.60 : 623,996.70 = 120,442.60 : x
  2. Step 2: Convert to fraction form
    415,930.60/623,996.70 = 120,442.60/x
  3. Step 3: Cross multiply
    415,930.60x = 623,996.70 × 120,442.60
  4. Step 4: Simplify right side
    415,930.60x = 75,155,784,939.42
  5. Step 5: Solve for x
    x = 75,155,784,939.42/415,930.60
  6. Step 6: Final answer
    x = 180,693.09

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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.