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Finding the Fourth Proportional to 398,475.20, 598,039.20 and 395,364.80

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Solution

The fourth proportional to 398,475.20, 598,039.20 and 395,364.80 is: 593,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,475.20 : 598,039.20 = 395,364.80 : x
  2. Step 2: Convert to fraction form
    398,475.20/598,039.20 = 395,364.80/x
  3. Step 3: Cross multiply
    398,475.20x = 598,039.20 × 395,364.80
  4. Step 4: Simplify right side
    398,475.20x = 236,443,648,700.16
  5. Step 5: Solve for x
    x = 236,443,648,700.16/398,475.20
  6. Step 6: Final answer
    x = 593,371.05

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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.