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Finding the Fourth Proportional to 467,672.40, 701,638.20 and 310,208.40

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Solution

The fourth proportional to 467,672.40, 701,638.20 and 310,208.40 is: 465,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,672.40 : 701,638.20 = 310,208.40 : x
  2. Step 2: Convert to fraction form
    467,672.40/701,638.20 = 310,208.40/x
  3. Step 3: Cross multiply
    467,672.40x = 701,638.20 × 310,208.40
  4. Step 4: Simplify right side
    467,672.40x = 217,654,063,400.88
  5. Step 5: Solve for x
    x = 217,654,063,400.88/467,672.40
  6. Step 6: Final answer
    x = 465,398.56

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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.