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Finding the Fourth Proportional to 462,805.92, 694,224.16 and 159,197.02

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Solution

The fourth proportional to 462,805.92, 694,224.16 and 159,197.02 is: 238,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,805.92 : 694,224.16 = 159,197.02 : x
  2. Step 2: Convert to fraction form
    462,805.92/694,224.16 = 159,197.02/x
  3. Step 3: Cross multiply
    462,805.92x = 694,224.16 × 159,197.02
  4. Step 4: Simplify right side
    462,805.92x = 110,518,415,350.45
  5. Step 5: Solve for x
    x = 110,518,415,350.45/462,805.92
  6. Step 6: Final answer
    x = 238,800.78

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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.