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Finding the Fourth Proportional to 520,267.50, 780,042.69 and 204,760.62

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Solution

The fourth proportional to 520,267.50, 780,042.69 and 204,760.62 is: 306,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,267.50 : 780,042.69 = 204,760.62 : x
  2. Step 2: Convert to fraction form
    520,267.50/780,042.69 = 204,760.62/x
  3. Step 3: Cross multiply
    520,267.50x = 780,042.69 × 204,760.62
  4. Step 4: Simplify right side
    520,267.50x = 159,722,024,830.87
  5. Step 5: Solve for x
    x = 159,722,024,830.87/520,267.50
  6. Step 6: Final answer
    x = 306,999.81

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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.