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Finding the Fourth Proportional to 410,989.25, 616,483.88 and 115,501.25

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Solution

The fourth proportional to 410,989.25, 616,483.88 and 115,501.25 is: 173,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,989.25 : 616,483.88 = 115,501.25 : x
  2. Step 2: Convert to fraction form
    410,989.25/616,483.88 = 115,501.25/x
  3. Step 3: Cross multiply
    410,989.25x = 616,483.88 × 115,501.25
  4. Step 4: Simplify right side
    410,989.25x = 71,204,658,744.85
  5. Step 5: Solve for x
    x = 71,204,658,744.85/410,989.25
  6. Step 6: Final answer
    x = 173,251.88

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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.