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Finding the Fourth Proportional to 309,877.41, 464,969.22 and 183,512.55

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Solution

The fourth proportional to 309,877.41, 464,969.22 and 183,512.55 is: 275,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,877.41 : 464,969.22 = 183,512.55 : x
  2. Step 2: Convert to fraction form
    309,877.41/464,969.22 = 183,512.55/x
  3. Step 3: Cross multiply
    309,877.41x = 464,969.22 × 183,512.55
  4. Step 4: Simplify right side
    309,877.41x = 85,327,687,233.71
  5. Step 5: Solve for x
    x = 85,327,687,233.71/309,877.41
  6. Step 6: Final answer
    x = 275,359.50

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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.