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Finding the Fourth Proportional to 354,542.75, 531,818.75 and 117,885.43

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Solution

The fourth proportional to 354,542.75, 531,818.75 and 117,885.43 is: 176,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,542.75 : 531,818.75 = 117,885.43 : x
  2. Step 2: Convert to fraction form
    354,542.75/531,818.75 = 117,885.43/x
  3. Step 3: Cross multiply
    354,542.75x = 531,818.75 × 117,885.43
  4. Step 4: Simplify right side
    354,542.75x = 62,693,682,025.81
  5. Step 5: Solve for x
    x = 62,693,682,025.81/354,542.75
  6. Step 6: Final answer
    x = 176,829.68

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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.