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Finding the Fourth Proportional to 416,568.56, 574,864.92 and 225,582.16

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Solution

The fourth proportional to 416,568.56, 574,864.92 and 225,582.16 is: 311,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,568.56 : 574,864.92 = 225,582.16 : x
  2. Step 2: Convert to fraction form
    416,568.56/574,864.92 = 225,582.16/x
  3. Step 3: Cross multiply
    416,568.56x = 574,864.92 × 225,582.16
  4. Step 4: Simplify right side
    416,568.56x = 129,679,270,361.83
  5. Step 5: Solve for x
    x = 129,679,270,361.83/416,568.56
  6. Step 6: Final answer
    x = 311,303.55

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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.