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Finding the Fourth Proportional to 302,677.32, 417,690.90 and 166,708.56

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Solution

The fourth proportional to 302,677.32, 417,690.90 and 166,708.56 is: 230,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,677.32 : 417,690.90 = 166,708.56 : x
  2. Step 2: Convert to fraction form
    302,677.32/417,690.90 = 166,708.56/x
  3. Step 3: Cross multiply
    302,677.32x = 417,690.90 × 166,708.56
  4. Step 4: Simplify right side
    302,677.32x = 69,632,648,464.10
  5. Step 5: Solve for x
    x = 69,632,648,464.10/302,677.32
  6. Step 6: Final answer
    x = 230,055.72

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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.