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Finding the Fourth Proportional to 473,213.41, 653,109.48 and 300,951.78

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Solution

The fourth proportional to 473,213.41, 653,109.48 and 300,951.78 is: 415,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,213.41 : 653,109.48 = 300,951.78 : x
  2. Step 2: Convert to fraction form
    473,213.41/653,109.48 = 300,951.78/x
  3. Step 3: Cross multiply
    473,213.41x = 653,109.48 × 300,951.78
  4. Step 4: Simplify right side
    473,213.41x = 196,554,458,091.71
  5. Step 5: Solve for x
    x = 196,554,458,091.71/473,213.41
  6. Step 6: Final answer
    x = 415,361.14

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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.