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Finding the Fourth Proportional to 537,893.28, 742,266 and 296,197.44

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Solution

The fourth proportional to 537,893.28, 742,266 and 296,197.44 is: 408,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,893.28 : 742,266 = 296,197.44 : x
  2. Step 2: Convert to fraction form
    537,893.28/742,266 = 296,197.44/x
  3. Step 3: Cross multiply
    537,893.28x = 742,266 × 296,197.44
  4. Step 4: Simplify right side
    537,893.28x = 219,857,288,999.04
  5. Step 5: Solve for x
    x = 219,857,288,999.04/537,893.28
  6. Step 6: Final answer
    x = 408,737.75

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1.5x scale

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.