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Finding the Fourth Proportional to 416,723.96, 575,077.16 and 225,737.84

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Solution

The fourth proportional to 416,723.96, 575,077.16 and 225,737.84 is: 311,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,723.96 : 575,077.16 = 225,737.84 : x
  2. Step 2: Convert to fraction form
    416,723.96/575,077.16 = 225,737.84/x
  3. Step 3: Cross multiply
    416,723.96x = 575,077.16 × 225,737.84
  4. Step 4: Simplify right side
    416,723.96x = 129,816,671,927.66
  5. Step 5: Solve for x
    x = 129,816,671,927.66/416,723.96
  6. Step 6: Final answer
    x = 311,517.18

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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.