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Finding the Fourth Proportional to 519,838.30, 780,103.05 and 295,198.30

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Solution

The fourth proportional to 519,838.30, 780,103.05 and 295,198.30 is: 442,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,838.30 : 780,103.05 = 295,198.30 : x
  2. Step 2: Convert to fraction form
    519,838.30/780,103.05 = 295,198.30/x
  3. Step 3: Cross multiply
    519,838.30x = 780,103.05 × 295,198.30
  4. Step 4: Simplify right side
    519,838.30x = 230,285,094,184.82
  5. Step 5: Solve for x
    x = 230,285,094,184.82/519,838.30
  6. Step 6: Final answer
    x = 442,993.70

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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.