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Finding the Fourth Proportional to 398,830.40, 598,245.60 and 232,942.40

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Solution

The fourth proportional to 398,830.40, 598,245.60 and 232,942.40 is: 349,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.40 : 598,245.60 = 232,942.40 : x
  2. Step 2: Convert to fraction form
    398,830.40/598,245.60 = 232,942.40/x
  3. Step 3: Cross multiply
    398,830.40x = 598,245.60 × 232,942.40
  4. Step 4: Simplify right side
    398,830.40x = 139,356,765,853.44
  5. Step 5: Solve for x
    x = 139,356,765,853.44/398,830.40
  6. Step 6: Final answer
    x = 349,413.60

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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.