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Finding the Fourth Proportional to 519,336.65, 779,105.97 and 199,465.12

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Solution

The fourth proportional to 519,336.65, 779,105.97 and 199,465.12 is: 299,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,336.65 : 779,105.97 = 199,465.12 : x
  2. Step 2: Convert to fraction form
    519,336.65/779,105.97 = 199,465.12/x
  3. Step 3: Cross multiply
    519,336.65x = 779,105.97 × 199,465.12
  4. Step 4: Simplify right side
    519,336.65x = 155,404,465,798.77
  5. Step 5: Solve for x
    x = 155,404,465,798.77/519,336.65
  6. Step 6: Final answer
    x = 299,236.47

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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.