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Finding the Fourth Proportional to 327,655.68, 491,569.36 and 103,007.04

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Solution

The fourth proportional to 327,655.68, 491,569.36 and 103,007.04 is: 154,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,655.68 : 491,569.36 = 103,007.04 : x
  2. Step 2: Convert to fraction form
    327,655.68/491,569.36 = 103,007.04/x
  3. Step 3: Cross multiply
    327,655.68x = 491,569.36 × 103,007.04
  4. Step 4: Simplify right side
    327,655.68x = 50,635,104,728.29
  5. Step 5: Solve for x
    x = 50,635,104,728.29/327,655.68
  6. Step 6: Final answer
    x = 154,537.55

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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.