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Finding the Fourth Proportional to 302,632.16, 417,682.31 and 230,876.69

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Solution

The fourth proportional to 302,632.16, 417,682.31 and 230,876.69 is: 318,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,632.16 : 417,682.31 = 230,876.69 : x
  2. Step 2: Convert to fraction form
    302,632.16/417,682.31 = 230,876.69/x
  3. Step 3: Cross multiply
    302,632.16x = 417,682.31 × 230,876.69
  4. Step 4: Simplify right side
    302,632.16x = 96,433,105,961.56
  5. Step 5: Solve for x
    x = 96,433,105,961.56/302,632.16
  6. Step 6: Final answer
    x = 318,647.92

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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.