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Finding the Fourth Proportional to 310,200.42, 465,532.25 and 230,422.61

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Solution

The fourth proportional to 310,200.42, 465,532.25 and 230,422.61 is: 345,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,200.42 : 465,532.25 = 230,422.61 : x
  2. Step 2: Convert to fraction form
    310,200.42/465,532.25 = 230,422.61/x
  3. Step 3: Cross multiply
    310,200.42x = 465,532.25 × 230,422.61
  4. Step 4: Simplify right side
    310,200.42x = 107,269,156,095.89
  5. Step 5: Solve for x
    x = 107,269,156,095.89/310,200.42
  6. Step 6: Final answer
    x = 345,805.96

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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.