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Finding the Fourth Proportional to 457,181.56, 685,805.19 and 157,657.83

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Solution

The fourth proportional to 457,181.56, 685,805.19 and 157,657.83 is: 236,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,181.56 : 685,805.19 = 157,657.83 : x
  2. Step 2: Convert to fraction form
    457,181.56/685,805.19 = 157,657.83/x
  3. Step 3: Cross multiply
    457,181.56x = 685,805.19 × 157,657.83
  4. Step 4: Simplify right side
    457,181.56x = 108,122,558,058.14
  5. Step 5: Solve for x
    x = 108,122,558,058.14/457,181.56
  6. Step 6: Final answer
    x = 236,498.07

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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.