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Finding the Fourth Proportional to 457,147.82, 685,766.86 and 157,588.98

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Solution

The fourth proportional to 457,147.82, 685,766.86 and 157,588.98 is: 236,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,147.82 : 685,766.86 = 157,588.98 : x
  2. Step 2: Convert to fraction form
    457,147.82/685,766.86 = 157,588.98/x
  3. Step 3: Cross multiply
    457,147.82x = 685,766.86 × 157,588.98
  4. Step 4: Simplify right side
    457,147.82x = 108,069,299,985.20
  5. Step 5: Solve for x
    x = 108,069,299,985.20/457,147.82
  6. Step 6: Final answer
    x = 236,399.03

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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.