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Finding the Fourth Proportional to 519,882.44, 778,049.40 and 435,737.60

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Solution

The fourth proportional to 519,882.44, 778,049.40 and 435,737.60 is: 652,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,882.44 : 778,049.40 = 435,737.60 : x
  2. Step 2: Convert to fraction form
    519,882.44/778,049.40 = 435,737.60/x
  3. Step 3: Cross multiply
    519,882.44x = 778,049.40 × 435,737.60
  4. Step 4: Simplify right side
    519,882.44x = 339,025,378,237.44
  5. Step 5: Solve for x
    x = 339,025,378,237.44/519,882.44
  6. Step 6: Final answer
    x = 652,119.31

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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.