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Finding the Fourth Proportional to 409,236.44, 564,732 and 227,939.00

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Solution

The fourth proportional to 409,236.44, 564,732 and 227,939.00 is: 314,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,236.44 : 564,732 = 227,939.00 : x
  2. Step 2: Convert to fraction form
    409,236.44/564,732 = 227,939.00/x
  3. Step 3: Cross multiply
    409,236.44x = 564,732 × 227,939.00
  4. Step 4: Simplify right side
    409,236.44x = 128,724,444,524.34
  5. Step 5: Solve for x
    x = 128,724,444,524.34/409,236.44
  6. Step 6: Final answer
    x = 314,547.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.