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Finding the Fourth Proportional to 342,900, 473,202 and 192,000.24

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Solution

The fourth proportional to 342,900, 473,202 and 192,000.24 is: 264,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,900 : 473,202 = 192,000.24 : x
  2. Step 2: Convert to fraction form
    342,900/473,202 = 192,000.24/x
  3. Step 3: Cross multiply
    342,900x = 473,202 × 192,000.24
  4. Step 4: Simplify right side
    342,900x = 90,854,897,568.48
  5. Step 5: Solve for x
    x = 90,854,897,568.48/342,900
  6. Step 6: Final answer
    x = 264,960.33

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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.