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Finding the Fourth Proportional to 415,279.50, 623,023.29 and 119,791.50

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Solution

The fourth proportional to 415,279.50, 623,023.29 and 119,791.50 is: 179,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,279.50 : 623,023.29 = 119,791.50 : x
  2. Step 2: Convert to fraction form
    415,279.50/623,023.29 = 119,791.50/x
  3. Step 3: Cross multiply
    415,279.50x = 623,023.29 × 119,791.50
  4. Step 4: Simplify right side
    415,279.50x = 74,632,894,444.04
  5. Step 5: Solve for x
    x = 74,632,894,444.04/415,279.50
  6. Step 6: Final answer
    x = 179,717.26

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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.