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Finding the Fourth Proportional to 513,234.38, 708,201.63 and 283,760.67

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Solution

The fourth proportional to 513,234.38, 708,201.63 and 283,760.67 is: 391,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,234.38 : 708,201.63 = 283,760.67 : x
  2. Step 2: Convert to fraction form
    513,234.38/708,201.63 = 283,760.67/x
  3. Step 3: Cross multiply
    513,234.38x = 708,201.63 × 283,760.67
  4. Step 4: Simplify right side
    513,234.38x = 200,959,767,696.01
  5. Step 5: Solve for x
    x = 200,959,767,696.01/513,234.38
  6. Step 6: Final answer
    x = 391,555.55

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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.