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Finding the Fourth Proportional to 519,336.86, 779,106.29 and 199,465.33

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Solution

The fourth proportional to 519,336.86, 779,106.29 and 199,465.33 is: 299,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,336.86 : 779,106.29 = 199,465.33 : x
  2. Step 2: Convert to fraction form
    519,336.86/779,106.29 = 199,465.33/x
  3. Step 3: Cross multiply
    519,336.86x = 779,106.29 × 199,465.33
  4. Step 4: Simplify right side
    519,336.86x = 155,404,693,239.93
  5. Step 5: Solve for x
    x = 155,404,693,239.93/519,336.86
  6. Step 6: Final answer
    x = 299,236.79

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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.