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Finding the Fourth Proportional to 416,567.46, 574,864.86 and 225,581.01

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Solution

The fourth proportional to 416,567.46, 574,864.86 and 225,581.01 is: 311,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,567.46 : 574,864.86 = 225,581.01 : x
  2. Step 2: Convert to fraction form
    416,567.46/574,864.86 = 225,581.01/x
  3. Step 3: Cross multiply
    416,567.46x = 574,864.86 × 225,581.01
  4. Step 4: Simplify right side
    416,567.46x = 129,678,595,732.31
  5. Step 5: Solve for x
    x = 129,678,595,732.31/416,567.46
  6. Step 6: Final answer
    x = 311,302.75

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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.