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Finding the Fourth Proportional to 457,144.46, 685,761.75 and 157,585.60

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Solution

The fourth proportional to 457,144.46, 685,761.75 and 157,585.60 is: 236,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,144.46 : 685,761.75 = 157,585.60 : x
  2. Step 2: Convert to fraction form
    457,144.46/685,761.75 = 157,585.60/x
  3. Step 3: Cross multiply
    457,144.46x = 685,761.75 × 157,585.60
  4. Step 4: Simplify right side
    457,144.46x = 108,066,175,116.40
  5. Step 5: Solve for x
    x = 108,066,175,116.40/457,144.46
  6. Step 6: Final answer
    x = 236,393.93

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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.