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Finding the Fourth Proportional to 513,552.04, 770,658.56 and 277,057.96

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Solution

The fourth proportional to 513,552.04, 770,658.56 and 277,057.96 is: 415,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,552.04 : 770,658.56 = 277,057.96 : x
  2. Step 2: Convert to fraction form
    513,552.04/770,658.56 = 277,057.96/x
  3. Step 3: Cross multiply
    513,552.04x = 770,658.56 × 277,057.96
  4. Step 4: Simplify right side
    513,552.04x = 213,517,088,490.14
  5. Step 5: Solve for x
    x = 213,517,088,490.14/513,552.04
  6. Step 6: Final answer
    x = 415,765.24

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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.