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Finding the Fourth Proportional to 354,538.16, 531,814.52 and 117,882.88

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Solution

The fourth proportional to 354,538.16, 531,814.52 and 117,882.88 is: 176,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,538.16 : 531,814.52 = 117,882.88 : x
  2. Step 2: Convert to fraction form
    354,538.16/531,814.52 = 117,882.88/x
  3. Step 3: Cross multiply
    354,538.16x = 531,814.52 × 117,882.88
  4. Step 4: Simplify right side
    354,538.16x = 62,691,827,243.42
  5. Step 5: Solve for x
    x = 62,691,827,243.42/354,538.16
  6. Step 6: Final answer
    x = 176,826.74

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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.