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Finding the Fourth Proportional to 398,445.20, 597,667.80 and 149,094.80

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Solution

The fourth proportional to 398,445.20, 597,667.80 and 149,094.80 is: 223,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,445.20 : 597,667.80 = 149,094.80 : x
  2. Step 2: Convert to fraction form
    398,445.20/597,667.80 = 149,094.80/x
  3. Step 3: Cross multiply
    398,445.20x = 597,667.80 × 149,094.80
  4. Step 4: Simplify right side
    398,445.20x = 89,109,161,107.44
  5. Step 5: Solve for x
    x = 89,109,161,107.44/398,445.20
  6. Step 6: Final answer
    x = 223,642.20

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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.