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Finding the Fourth Proportional to 416,617.33, 574,931.37 and 225,631.48

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Solution

The fourth proportional to 416,617.33, 574,931.37 and 225,631.48 is: 311,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,617.33 : 574,931.37 = 225,631.48 : x
  2. Step 2: Convert to fraction form
    416,617.33/574,931.37 = 225,631.48/x
  3. Step 3: Cross multiply
    416,617.33x = 574,931.37 × 225,631.48
  4. Step 4: Simplify right side
    416,617.33x = 129,722,615,911.53
  5. Step 5: Solve for x
    x = 129,722,615,911.53/416,617.33
  6. Step 6: Final answer
    x = 311,371.15

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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.