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Finding the Fourth Proportional to 354,540.16, 531,817.52 and 117,884.88

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Solution

The fourth proportional to 354,540.16, 531,817.52 and 117,884.88 is: 176,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,540.16 : 531,817.52 = 117,884.88 : x
  2. Step 2: Convert to fraction form
    354,540.16/531,817.52 = 117,884.88/x
  3. Step 3: Cross multiply
    354,540.16x = 531,817.52 × 117,884.88
  4. Step 4: Simplify right side
    354,540.16x = 62,693,244,527.10
  5. Step 5: Solve for x
    x = 62,693,244,527.10/354,540.16
  6. Step 6: Final answer
    x = 176,829.74

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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.