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Finding the Fourth Proportional to 519,766.42, 779,715.24 and 182,727.86

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Solution

The fourth proportional to 519,766.42, 779,715.24 and 182,727.86 is: 274,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,766.42 : 779,715.24 = 182,727.86 : x
  2. Step 2: Convert to fraction form
    519,766.42/779,715.24 = 182,727.86/x
  3. Step 3: Cross multiply
    519,766.42x = 779,715.24 × 182,727.86
  4. Step 4: Simplify right side
    519,766.42x = 142,475,697,214.59
  5. Step 5: Solve for x
    x = 142,475,697,214.59/519,766.42
  6. Step 6: Final answer
    x = 274,114.86

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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.