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Finding the Fourth Proportional to 309,672.41, 464,397.17 and 107,213.51

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Solution

The fourth proportional to 309,672.41, 464,397.17 and 107,213.51 is: 160,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,672.41 : 464,397.17 = 107,213.51 : x
  2. Step 2: Convert to fraction form
    309,672.41/464,397.17 = 107,213.51/x
  3. Step 3: Cross multiply
    309,672.41x = 464,397.17 × 107,213.51
  4. Step 4: Simplify right side
    309,672.41x = 49,789,651,254.69
  5. Step 5: Solve for x
    x = 49,789,651,254.69/309,672.41
  6. Step 6: Final answer
    x = 160,781.69

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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.