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Finding the Fourth Proportional to 381,345.53, 526,255.36 and 209,266.38

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Solution

The fourth proportional to 381,345.53, 526,255.36 and 209,266.38 is: 288,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,345.53 : 526,255.36 = 209,266.38 : x
  2. Step 2: Convert to fraction form
    381,345.53/526,255.36 = 209,266.38/x
  3. Step 3: Cross multiply
    381,345.53x = 526,255.36 × 209,266.38
  4. Step 4: Simplify right side
    381,345.53x = 110,127,553,619.63
  5. Step 5: Solve for x
    x = 110,127,553,619.63/381,345.53
  6. Step 6: Final answer
    x = 288,786.80

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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.