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Finding the Fourth Proportional to 457,654.04, 685,706.03 and 277,194.19

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Solution

The fourth proportional to 457,654.04, 685,706.03 and 277,194.19 is: 415,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,654.04 : 685,706.03 = 277,194.19 : x
  2. Step 2: Convert to fraction form
    457,654.04/685,706.03 = 277,194.19/x
  3. Step 3: Cross multiply
    457,654.04x = 685,706.03 × 277,194.19
  4. Step 4: Simplify right side
    457,654.04x = 190,073,727,563.97
  5. Step 5: Solve for x
    x = 190,073,727,563.97/457,654.04
  6. Step 6: Final answer
    x = 415,321.86

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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.