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Finding the Fourth Proportional to 381,302.64, 526,222.58 and 220,164.48

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Solution

The fourth proportional to 381,302.64, 526,222.58 and 220,164.48 is: 303,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,302.64 : 526,222.58 = 220,164.48 : x
  2. Step 2: Convert to fraction form
    381,302.64/526,222.58 = 220,164.48/x
  3. Step 3: Cross multiply
    381,302.64x = 526,222.58 × 220,164.48
  4. Step 4: Simplify right side
    381,302.64x = 115,855,519,589.14
  5. Step 5: Solve for x
    x = 115,855,519,589.14/381,302.64
  6. Step 6: Final answer
    x = 303,841.38

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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.