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Finding the Fourth Proportional to 465,868.44, 698,304.30 and 241,002.48

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Solution

The fourth proportional to 465,868.44, 698,304.30 and 241,002.48 is: 361,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,868.44 : 698,304.30 = 241,002.48 : x
  2. Step 2: Convert to fraction form
    465,868.44/698,304.30 = 241,002.48/x
  3. Step 3: Cross multiply
    465,868.44x = 698,304.30 × 241,002.48
  4. Step 4: Simplify right side
    465,868.44x = 168,293,068,094.66
  5. Step 5: Solve for x
    x = 168,293,068,094.66/465,868.44
  6. Step 6: Final answer
    x = 361,245.91

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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.