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Finding the Fourth Proportional to 519,873.80, 780,156.30 and 295,233.80

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Solution

The fourth proportional to 519,873.80, 780,156.30 and 295,233.80 is: 443,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,873.80 : 780,156.30 = 295,233.80 : x
  2. Step 2: Convert to fraction form
    519,873.80/780,156.30 = 295,233.80/x
  3. Step 3: Cross multiply
    519,873.80x = 780,156.30 × 295,233.80
  4. Step 4: Simplify right side
    519,873.80x = 230,328,509,042.94
  5. Step 5: Solve for x
    x = 230,328,509,042.94/519,873.80
  6. Step 6: Final answer
    x = 443,046.96

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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.