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Finding the Fourth Proportional to 473,360.46, 653,149.47 and 269,399.24

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Solution

The fourth proportional to 473,360.46, 653,149.47 and 269,399.24 is: 371,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,360.46 : 653,149.47 = 269,399.24 : x
  2. Step 2: Convert to fraction form
    473,360.46/653,149.47 = 269,399.24/x
  3. Step 3: Cross multiply
    473,360.46x = 653,149.47 × 269,399.24
  4. Step 4: Simplify right side
    473,360.46x = 175,957,972,855.20
  5. Step 5: Solve for x
    x = 175,957,972,855.20/473,360.46
  6. Step 6: Final answer
    x = 371,720.90

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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.