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Finding the Fourth Proportional to 312,076.40, 468,114.60 and 264,837.20

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Solution

The fourth proportional to 312,076.40, 468,114.60 and 264,837.20 is: 397,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.40 : 468,114.60 = 264,837.20 : x
  2. Step 2: Convert to fraction form
    312,076.40/468,114.60 = 264,837.20/x
  3. Step 3: Cross multiply
    312,076.40x = 468,114.60 × 264,837.20
  4. Step 4: Simplify right side
    312,076.40x = 123,974,159,943.12
  5. Step 5: Solve for x
    x = 123,974,159,943.12/312,076.40
  6. Step 6: Final answer
    x = 397,255.80

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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.