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Finding the Fourth Proportional to 389,723.68, 538,182.12 and 286,847.20

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Solution

The fourth proportional to 389,723.68, 538,182.12 and 286,847.20 is: 396,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,723.68 : 538,182.12 = 286,847.20 : x
  2. Step 2: Convert to fraction form
    389,723.68/538,182.12 = 286,847.20/x
  3. Step 3: Cross multiply
    389,723.68x = 538,182.12 × 286,847.20
  4. Step 4: Simplify right side
    389,723.68x = 154,376,034,212.06
  5. Step 5: Solve for x
    x = 154,376,034,212.06/389,723.68
  6. Step 6: Final answer
    x = 396,116.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.