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Finding the Fourth Proportional to 416,797.13, 575,180.61 and 225,810.53

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Solution

The fourth proportional to 416,797.13, 575,180.61 and 225,810.53 is: 311,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,797.13 : 575,180.61 = 225,810.53 : x
  2. Step 2: Convert to fraction form
    416,797.13/575,180.61 = 225,810.53/x
  3. Step 3: Cross multiply
    416,797.13x = 575,180.61 × 225,810.53
  4. Step 4: Simplify right side
    416,797.13x = 129,881,835,513.92
  5. Step 5: Solve for x
    x = 129,881,835,513.92/416,797.13
  6. Step 6: Final answer
    x = 311,618.83

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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.