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Finding the Fourth Proportional to 398,983.80, 598,475.70 and 162,496.20

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Solution

The fourth proportional to 398,983.80, 598,475.70 and 162,496.20 is: 243,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,983.80 : 598,475.70 = 162,496.20 : x
  2. Step 2: Convert to fraction form
    398,983.80/598,475.70 = 162,496.20/x
  3. Step 3: Cross multiply
    398,983.80x = 598,475.70 × 162,496.20
  4. Step 4: Simplify right side
    398,983.80x = 97,250,027,042.34
  5. Step 5: Solve for x
    x = 97,250,027,042.34/398,983.80
  6. Step 6: Final answer
    x = 243,744.30

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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.