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Finding the Fourth Proportional to 309,568.44, 464,398.80 and 109,872.10

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Solution

The fourth proportional to 309,568.44, 464,398.80 and 109,872.10 is: 164,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,568.44 : 464,398.80 = 109,872.10 : x
  2. Step 2: Convert to fraction form
    309,568.44/464,398.80 = 109,872.10/x
  3. Step 3: Cross multiply
    309,568.44x = 464,398.80 × 109,872.10
  4. Step 4: Simplify right side
    309,568.44x = 51,024,471,393.48
  5. Step 5: Solve for x
    x = 51,024,471,393.48/309,568.44
  6. Step 6: Final answer
    x = 164,824.53

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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.