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Finding the Fourth Proportional to 417,174.50, 625,554.72 and 132,828

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Solution

The fourth proportional to 417,174.50, 625,554.72 and 132,828 is: 199,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,174.50 : 625,554.72 = 132,828 : x
  2. Step 2: Convert to fraction form
    417,174.50/625,554.72 = 132,828/x
  3. Step 3: Cross multiply
    417,174.50x = 625,554.72 × 132,828
  4. Step 4: Simplify right side
    417,174.50x = 83,091,181,684.02
  5. Step 5: Solve for x
    x = 83,091,181,684.02/417,174.50
  6. Step 6: Final answer
    x = 199,176.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.