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Finding the Fourth Proportional to 398,251.20, 597,549.60 and 201,259.20

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Solution

The fourth proportional to 398,251.20, 597,549.60 and 201,259.20 is: 301,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,251.20 : 597,549.60 = 201,259.20 : x
  2. Step 2: Convert to fraction form
    398,251.20/597,549.60 = 201,259.20/x
  3. Step 3: Cross multiply
    398,251.20x = 597,549.60 × 201,259.20
  4. Step 4: Simplify right side
    398,251.20x = 120,262,354,456.32
  5. Step 5: Solve for x
    x = 120,262,354,456.32/398,251.20
  6. Step 6: Final answer
    x = 301,976.13

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1.5x scale

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.