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Finding the Fourth Proportional to 327,656.68, 491,570.86 and 103,008.04

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Solution

The fourth proportional to 327,656.68, 491,570.86 and 103,008.04 is: 154,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,656.68 : 491,570.86 = 103,008.04 : x
  2. Step 2: Convert to fraction form
    327,656.68/491,570.86 = 103,008.04/x
  3. Step 3: Cross multiply
    327,656.68x = 491,570.86 × 103,008.04
  4. Step 4: Simplify right side
    327,656.68x = 50,635,750,809.71
  5. Step 5: Solve for x
    x = 50,635,750,809.71/327,656.68
  6. Step 6: Final answer
    x = 154,539.05

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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.