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Finding the Fourth Proportional to 311,540.64, 467,356.05 and 98,236.14

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Solution

The fourth proportional to 311,540.64, 467,356.05 and 98,236.14 is: 147,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,540.64 : 467,356.05 = 98,236.14 : x
  2. Step 2: Convert to fraction form
    311,540.64/467,356.05 = 98,236.14/x
  3. Step 3: Cross multiply
    311,540.64x = 467,356.05 × 98,236.14
  4. Step 4: Simplify right side
    311,540.64x = 45,911,254,357.65
  5. Step 5: Solve for x
    x = 45,911,254,357.65/311,540.64
  6. Step 6: Final answer
    x = 147,368.43

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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.