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Finding the Fourth Proportional to 416,044.53, 574,139.01 and 225,053.82

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Solution

The fourth proportional to 416,044.53, 574,139.01 and 225,053.82 is: 310,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,044.53 : 574,139.01 = 225,053.82 : x
  2. Step 2: Convert to fraction form
    416,044.53/574,139.01 = 225,053.82/x
  3. Step 3: Cross multiply
    416,044.53x = 574,139.01 × 225,053.82
  4. Step 4: Simplify right side
    416,044.53x = 129,212,177,411.52
  5. Step 5: Solve for x
    x = 129,212,177,411.52/416,044.53
  6. Step 6: Final answer
    x = 310,572.95

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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.