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Finding the Fourth Proportional to 416,683.52, 575,023.28 and 225,696.97

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Solution

The fourth proportional to 416,683.52, 575,023.28 and 225,696.97 is: 311,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,683.52 : 575,023.28 = 225,696.97 : x
  2. Step 2: Convert to fraction form
    416,683.52/575,023.28 = 225,696.97/x
  3. Step 3: Cross multiply
    416,683.52x = 575,023.28 × 225,696.97
  4. Step 4: Simplify right side
    416,683.52x = 129,781,011,975.46
  5. Step 5: Solve for x
    x = 129,781,011,975.46/416,683.52
  6. Step 6: Final answer
    x = 311,461.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.