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Finding the Fourth Proportional to 417,074.52, 575,565.89 and 226,089.27

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Solution

The fourth proportional to 417,074.52, 575,565.89 and 226,089.27 is: 312,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,074.52 : 575,565.89 = 226,089.27 : x
  2. Step 2: Convert to fraction form
    417,074.52/575,565.89 = 226,089.27/x
  3. Step 3: Cross multiply
    417,074.52x = 575,565.89 × 226,089.27
  4. Step 4: Simplify right side
    417,074.52x = 130,129,273,911.14
  5. Step 5: Solve for x
    x = 130,129,273,911.14/417,074.52
  6. Step 6: Final answer
    x = 312,004.86

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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.