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Finding the Fourth Proportional to 328,856.64, 453,822.24 and 177,954.24

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Solution

The fourth proportional to 328,856.64, 453,822.24 and 177,954.24 is: 245,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,856.64 : 453,822.24 = 177,954.24 : x
  2. Step 2: Convert to fraction form
    328,856.64/453,822.24 = 177,954.24/x
  3. Step 3: Cross multiply
    328,856.64x = 453,822.24 × 177,954.24
  4. Step 4: Simplify right side
    328,856.64x = 80,759,591,814.30
  5. Step 5: Solve for x
    x = 80,759,591,814.30/328,856.64
  6. Step 6: Final answer
    x = 245,576.89

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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.