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Finding the Fourth Proportional to 462,827.93, 694,292.92 and 147,211.02

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Solution

The fourth proportional to 462,827.93, 694,292.92 and 147,211.02 is: 220,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,827.93 : 694,292.92 = 147,211.02 : x
  2. Step 2: Convert to fraction form
    462,827.93/694,292.92 = 147,211.02/x
  3. Step 3: Cross multiply
    462,827.93x = 694,292.92 × 147,211.02
  4. Step 4: Simplify right side
    462,827.93x = 102,207,568,563.95
  5. Step 5: Solve for x
    x = 102,207,568,563.95/462,827.93
  6. Step 6: Final answer
    x = 220,832.76

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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.