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Finding the Fourth Proportional to 302,502.68, 417,447.14 and 166,531.43

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Solution

The fourth proportional to 302,502.68, 417,447.14 and 166,531.43 is: 229,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,502.68 : 417,447.14 = 166,531.43 : x
  2. Step 2: Convert to fraction form
    302,502.68/417,447.14 = 166,531.43/x
  3. Step 3: Cross multiply
    302,502.68x = 417,447.14 × 166,531.43
  4. Step 4: Simplify right side
    302,502.68x = 69,518,067,036.43
  5. Step 5: Solve for x
    x = 69,518,067,036.43/302,502.68
  6. Step 6: Final answer
    x = 229,809.75

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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.