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Finding the Fourth Proportional to 312,084.40, 468,126.60 and 264,845.20

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Solution

The fourth proportional to 312,084.40, 468,126.60 and 264,845.20 is: 397,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,084.40 : 468,126.60 = 264,845.20 : x
  2. Step 2: Convert to fraction form
    312,084.40/468,126.60 = 264,845.20/x
  3. Step 3: Cross multiply
    312,084.40x = 468,126.60 × 264,845.20
  4. Step 4: Simplify right side
    312,084.40x = 123,981,083,002.32
  5. Step 5: Solve for x
    x = 123,981,083,002.32/312,084.40
  6. Step 6: Final answer
    x = 397,267.80

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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.