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Finding the Fourth Proportional to 354,540.38, 531,815.20 and 117,883.06

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Solution

The fourth proportional to 354,540.38, 531,815.20 and 117,883.06 is: 176,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,540.38 : 531,815.20 = 117,883.06 : x
  2. Step 2: Convert to fraction form
    354,540.38/531,815.20 = 117,883.06/x
  3. Step 3: Cross multiply
    354,540.38x = 531,815.20 × 117,883.06
  4. Step 4: Simplify right side
    354,540.38x = 62,692,001,506.27
  5. Step 5: Solve for x
    x = 62,692,001,506.27/354,540.38
  6. Step 6: Final answer
    x = 176,826.13

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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.