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Finding the Fourth Proportional to 467,815.27, 701,809.48 and 148,047.62

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Solution

The fourth proportional to 467,815.27, 701,809.48 and 148,047.62 is: 222,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,815.27 : 701,809.48 = 148,047.62 : x
  2. Step 2: Convert to fraction form
    467,815.27/701,809.48 = 148,047.62/x
  3. Step 3: Cross multiply
    467,815.27x = 701,809.48 × 148,047.62
  4. Step 4: Simplify right side
    467,815.27x = 103,901,223,207.44
  5. Step 5: Solve for x
    x = 103,901,223,207.44/467,815.27
  6. Step 6: Final answer
    x = 222,098.83

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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.