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Finding the Fourth Proportional to 410,988.75, 616,483.13 and 115,500.75

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Solution

The fourth proportional to 410,988.75, 616,483.13 and 115,500.75 is: 173,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,988.75 : 616,483.13 = 115,500.75 : x
  2. Step 2: Convert to fraction form
    410,988.75/616,483.13 = 115,500.75/x
  3. Step 3: Cross multiply
    410,988.75x = 616,483.13 × 115,500.75
  4. Step 4: Simplify right side
    410,988.75x = 71,204,263,299.84
  5. Step 5: Solve for x
    x = 71,204,263,299.84/410,988.75
  6. Step 6: Final answer
    x = 173,251.13

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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.