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Finding the Fourth Proportional to 416,567.56, 574,863.54 and 225,581.16

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Solution

The fourth proportional to 416,567.56, 574,863.54 and 225,581.16 is: 311,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,567.56 : 574,863.54 = 225,581.16 : x
  2. Step 2: Convert to fraction form
    416,567.56/574,863.54 = 225,581.16/x
  3. Step 3: Cross multiply
    416,567.56x = 574,863.54 × 225,581.16
  4. Step 4: Simplify right side
    416,567.56x = 129,678,384,194.91
  5. Step 5: Solve for x
    x = 129,678,384,194.91/416,567.56
  6. Step 6: Final answer
    x = 311,302.17

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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.