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Finding the Fourth Proportional to 297,873.78, 446,810.88 and 84,614.16

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Solution

The fourth proportional to 297,873.78, 446,810.88 and 84,614.16 is: 126,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,873.78 : 446,810.88 = 84,614.16 : x
  2. Step 2: Convert to fraction form
    297,873.78/446,810.88 = 84,614.16/x
  3. Step 3: Cross multiply
    297,873.78x = 446,810.88 × 84,614.16
  4. Step 4: Simplify right side
    297,873.78x = 37,806,527,290.06
  5. Step 5: Solve for x
    x = 37,806,527,290.06/297,873.78
  6. Step 6: Final answer
    x = 126,921.30

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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.