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Finding the Fourth Proportional to 398,821.60, 598,232.40 and 362,879.20

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Solution

The fourth proportional to 398,821.60, 598,232.40 and 362,879.20 is: 544,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,821.60 : 598,232.40 = 362,879.20 : x
  2. Step 2: Convert to fraction form
    398,821.60/598,232.40 = 362,879.20/x
  3. Step 3: Cross multiply
    398,821.60x = 598,232.40 × 362,879.20
  4. Step 4: Simplify right side
    398,821.60x = 217,086,094,726.08
  5. Step 5: Solve for x
    x = 217,086,094,726.08/398,821.60
  6. Step 6: Final answer
    x = 544,318.80

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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.