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Finding the Fourth Proportional to 397,468.23, 595,205.29 and 237,445.44

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Solution

The fourth proportional to 397,468.23, 595,205.29 and 237,445.44 is: 355,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,468.23 : 595,205.29 = 237,445.44 : x
  2. Step 2: Convert to fraction form
    397,468.23/595,205.29 = 237,445.44/x
  3. Step 3: Cross multiply
    397,468.23x = 595,205.29 × 237,445.44
  4. Step 4: Simplify right side
    397,468.23x = 141,328,781,974.38
  5. Step 5: Solve for x
    x = 141,328,781,974.38/397,468.23
  6. Step 6: Final answer
    x = 355,572.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.