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Finding the Fourth Proportional to 312,023.20, 468,034.80 and 154,559.20

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Solution

The fourth proportional to 312,023.20, 468,034.80 and 154,559.20 is: 231,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,023.20 : 468,034.80 = 154,559.20 : x
  2. Step 2: Convert to fraction form
    312,023.20/468,034.80 = 154,559.20/x
  3. Step 3: Cross multiply
    312,023.20x = 468,034.80 × 154,559.20
  4. Step 4: Simplify right side
    312,023.20x = 72,339,084,260.16
  5. Step 5: Solve for x
    x = 72,339,084,260.16/312,023.20
  6. Step 6: Final answer
    x = 231,838.80

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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.