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Finding the Fourth Proportional to 533,648.28, 736,474.56 and 304,211.01

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Solution

The fourth proportional to 533,648.28, 736,474.56 and 304,211.01 is: 419,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,648.28 : 736,474.56 = 304,211.01 : x
  2. Step 2: Convert to fraction form
    533,648.28/736,474.56 = 304,211.01/x
  3. Step 3: Cross multiply
    533,648.28x = 736,474.56 × 304,211.01
  4. Step 4: Simplify right side
    533,648.28x = 224,043,669,736.91
  5. Step 5: Solve for x
    x = 224,043,669,736.91/533,648.28
  6. Step 6: Final answer
    x = 419,833.96

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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.