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Finding the Fourth Proportional to 473,795.97, 710,767.80 and 284,211.78

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Solution

The fourth proportional to 473,795.97, 710,767.80 and 284,211.78 is: 426,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,795.97 : 710,767.80 = 284,211.78 : x
  2. Step 2: Convert to fraction form
    473,795.97/710,767.80 = 284,211.78/x
  3. Step 3: Cross multiply
    473,795.97x = 710,767.80 × 284,211.78
  4. Step 4: Simplify right side
    473,795.97x = 202,008,581,604.68
  5. Step 5: Solve for x
    x = 202,008,581,604.68/473,795.97
  6. Step 6: Final answer
    x = 426,361.97

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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.