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Finding the Fourth Proportional to 519,336.24, 779,105.35 and 199,464.71

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Solution

The fourth proportional to 519,336.24, 779,105.35 and 199,464.71 is: 299,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,336.24 : 779,105.35 = 199,464.71 : x
  2. Step 2: Convert to fraction form
    519,336.24/779,105.35 = 199,464.71/x
  3. Step 3: Cross multiply
    519,336.24x = 779,105.35 × 199,464.71
  4. Step 4: Simplify right side
    519,336.24x = 155,404,019,051.00
  5. Step 5: Solve for x
    x = 155,404,019,051.00/519,336.24
  6. Step 6: Final answer
    x = 299,235.85

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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.