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Finding the Fourth Proportional to 473,251.76, 653,144.70 and 269,352.26

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Solution

The fourth proportional to 473,251.76, 653,144.70 and 269,352.26 is: 371,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,251.76 : 653,144.70 = 269,352.26 : x
  2. Step 2: Convert to fraction form
    473,251.76/653,144.70 = 269,352.26/x
  3. Step 3: Cross multiply
    473,251.76x = 653,144.70 × 269,352.26
  4. Step 4: Simplify right side
    473,251.76x = 175,926,001,052.02
  5. Step 5: Solve for x
    x = 175,926,001,052.02/473,251.76
  6. Step 6: Final answer
    x = 371,738.71

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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.