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Finding the Fourth Proportional to 467,542.20, 699,563.70 and 310,078.20

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Solution

The fourth proportional to 467,542.20, 699,563.70 and 310,078.20 is: 463,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,542.20 : 699,563.70 = 310,078.20 : x
  2. Step 2: Convert to fraction form
    467,542.20/699,563.70 = 310,078.20/x
  3. Step 3: Cross multiply
    467,542.20x = 699,563.70 × 310,078.20
  4. Step 4: Simplify right side
    467,542.20x = 216,919,452,881.34
  5. Step 5: Solve for x
    x = 216,919,452,881.34/467,542.20
  6. Step 6: Final answer
    x = 463,956.95

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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.