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Finding the Fourth Proportional to 519,390.52, 779,186.76 and 199,519

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Solution

The fourth proportional to 519,390.52, 779,186.76 and 199,519 is: 299,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,390.52 : 779,186.76 = 199,519 : x
  2. Step 2: Convert to fraction form
    519,390.52/779,186.76 = 199,519/x
  3. Step 3: Cross multiply
    519,390.52x = 779,186.76 × 199,519
  4. Step 4: Simplify right side
    519,390.52x = 155,462,563,168.44
  5. Step 5: Solve for x
    x = 155,462,563,168.44/519,390.52
  6. Step 6: Final answer
    x = 299,317.29

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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.