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Finding the Fourth Proportional to 381,863.13, 572,794.66 and 97,554.29

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Solution

The fourth proportional to 381,863.13, 572,794.66 and 97,554.29 is: 146,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,863.13 : 572,794.66 = 97,554.29 : x
  2. Step 2: Convert to fraction form
    381,863.13/572,794.66 = 97,554.29/x
  3. Step 3: Cross multiply
    381,863.13x = 572,794.66 × 97,554.29
  4. Step 4: Simplify right side
    381,863.13x = 55,878,574,709.92
  5. Step 5: Solve for x
    x = 55,878,574,709.92/381,863.13
  6. Step 6: Final answer
    x = 146,331.42

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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.