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Finding the Fourth Proportional to 467,310.96, 701,034.08 and 147,354.21

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Solution

The fourth proportional to 467,310.96, 701,034.08 and 147,354.21 is: 221,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,310.96 : 701,034.08 = 147,354.21 : x
  2. Step 2: Convert to fraction form
    467,310.96/701,034.08 = 147,354.21/x
  3. Step 3: Cross multiply
    467,310.96x = 701,034.08 × 147,354.21
  4. Step 4: Simplify right side
    467,310.96x = 103,300,322,304.71
  5. Step 5: Solve for x
    x = 103,300,322,304.71/467,310.96
  6. Step 6: Final answer
    x = 221,052.64

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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.