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Finding the Fourth Proportional to 462,997.89, 693,988.80 and 238,370.31

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Solution

The fourth proportional to 462,997.89, 693,988.80 and 238,370.31 is: 357,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,997.89 : 693,988.80 = 238,370.31 : x
  2. Step 2: Convert to fraction form
    462,997.89/693,988.80 = 238,370.31/x
  3. Step 3: Cross multiply
    462,997.89x = 693,988.80 × 238,370.31
  4. Step 4: Simplify right side
    462,997.89x = 165,426,325,392.53
  5. Step 5: Solve for x
    x = 165,426,325,392.53/462,997.89
  6. Step 6: Final answer
    x = 357,293.91

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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.