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Finding the Fourth Proportional to 457,067.04, 685,645.92 and 157,507.44

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Solution

The fourth proportional to 457,067.04, 685,645.92 and 157,507.44 is: 236,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,067.04 : 685,645.92 = 157,507.44 : x
  2. Step 2: Convert to fraction form
    457,067.04/685,645.92 = 157,507.44/x
  3. Step 3: Cross multiply
    457,067.04x = 685,645.92 × 157,507.44
  4. Step 4: Simplify right side
    457,067.04x = 107,994,333,605.65
  5. Step 5: Solve for x
    x = 107,994,333,605.65/457,067.04
  6. Step 6: Final answer
    x = 236,276.79

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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.