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Finding the Fourth Proportional to 555,286.82, 832,758.00 and 200,254.71

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Solution

The fourth proportional to 555,286.82, 832,758.00 and 200,254.71 is: 300,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,286.82 : 832,758.00 = 200,254.71 : x
  2. Step 2: Convert to fraction form
    555,286.82/832,758.00 = 200,254.71/x
  3. Step 3: Cross multiply
    555,286.82x = 832,758.00 × 200,254.71
  4. Step 4: Simplify right side
    555,286.82x = 166,763,707,980.50
  5. Step 5: Solve for x
    x = 166,763,707,980.50/555,286.82
  6. Step 6: Final answer
    x = 300,319.95

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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.