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Finding the Fourth Proportional to 665,092.20, 997,638.30 and 465,637.80

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Solution

The fourth proportional to 665,092.20, 997,638.30 and 465,637.80 is: 698,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,092.20 : 997,638.30 = 465,637.80 : x
  2. Step 2: Convert to fraction form
    665,092.20/997,638.30 = 465,637.80/x
  3. Step 3: Cross multiply
    665,092.20x = 997,638.30 × 465,637.80
  4. Step 4: Simplify right side
    665,092.20x = 464,538,103,207.74
  5. Step 5: Solve for x
    x = 464,538,103,207.74/665,092.20
  6. Step 6: Final answer
    x = 698,456.70

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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.