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Finding the Fourth Proportional to 519,742.80, 779,614.20 and 519,742.80

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Solution

The fourth proportional to 519,742.80, 779,614.20 and 519,742.80 is: 779,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,742.80 : 779,614.20 = 519,742.80 : x
  2. Step 2: Convert to fraction form
    519,742.80/779,614.20 = 519,742.80/x
  3. Step 3: Cross multiply
    519,742.80x = 779,614.20 × 519,742.80
  4. Step 4: Simplify right side
    519,742.80x = 405,198,867,227.76
  5. Step 5: Solve for x
    x = 405,198,867,227.76/519,742.80
  6. Step 6: Final answer
    x = 779,614.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.