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Finding the Fourth Proportional to 382,908.68, 574,319.34 and 102,447.56

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Solution

The fourth proportional to 382,908.68, 574,319.34 and 102,447.56 is: 153,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,908.68 : 574,319.34 = 102,447.56 : x
  2. Step 2: Convert to fraction form
    382,908.68/574,319.34 = 102,447.56/x
  3. Step 3: Cross multiply
    382,908.68x = 574,319.34 × 102,447.56
  4. Step 4: Simplify right side
    382,908.68x = 58,837,615,043.81
  5. Step 5: Solve for x
    x = 58,837,615,043.81/382,908.68
  6. Step 6: Final answer
    x = 153,659.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.