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Finding the Fourth Proportional to 416,580.66, 574,880.45 and 225,593.46

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Solution

The fourth proportional to 416,580.66, 574,880.45 and 225,593.46 is: 311,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,580.66 : 574,880.45 = 225,593.46 : x
  2. Step 2: Convert to fraction form
    416,580.66/574,880.45 = 225,593.46/x
  3. Step 3: Cross multiply
    416,580.66x = 574,880.45 × 225,593.46
  4. Step 4: Simplify right side
    416,580.66x = 129,689,268,673.89
  5. Step 5: Solve for x
    x = 129,689,268,673.89/416,580.66
  6. Step 6: Final answer
    x = 311,318.51

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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.