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Finding the Fourth Proportional to 312,023.10, 468,034.65 and 308,912.70

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Solution

The fourth proportional to 312,023.10, 468,034.65 and 308,912.70 is: 463,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,023.10 : 468,034.65 = 308,912.70 : x
  2. Step 2: Convert to fraction form
    312,023.10/468,034.65 = 308,912.70/x
  3. Step 3: Cross multiply
    312,023.10x = 468,034.65 × 308,912.70
  4. Step 4: Simplify right side
    312,023.10x = 144,581,847,425.06
  5. Step 5: Solve for x
    x = 144,581,847,425.06/312,023.10
  6. Step 6: Final answer
    x = 463,369.05

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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.