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Finding the Fourth Proportional to 256,288.89, 353,844.96 and 229,384.74

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Solution

The fourth proportional to 256,288.89, 353,844.96 and 229,384.74 is: 316,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,288.89 : 353,844.96 = 229,384.74 : x
  2. Step 2: Convert to fraction form
    256,288.89/353,844.96 = 229,384.74/x
  3. Step 3: Cross multiply
    256,288.89x = 353,844.96 × 229,384.74
  4. Step 4: Simplify right side
    256,288.89x = 81,166,634,149.91
  5. Step 5: Solve for x
    x = 81,166,634,149.91/256,288.89
  6. Step 6: Final answer
    x = 316,699.78

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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.