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Finding the Fourth Proportional to 390,032.30, 538,234.27 and 217,951.68

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Solution

The fourth proportional to 390,032.30, 538,234.27 and 217,951.68 is: 300,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,032.30 : 538,234.27 = 217,951.68 : x
  2. Step 2: Convert to fraction form
    390,032.30/538,234.27 = 217,951.68/x
  3. Step 3: Cross multiply
    390,032.30x = 538,234.27 × 217,951.68
  4. Step 4: Simplify right side
    390,032.30x = 117,309,062,961.35
  5. Step 5: Solve for x
    x = 117,309,062,961.35/390,032.30
  6. Step 6: Final answer
    x = 300,767.56

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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.