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Finding the Fourth Proportional to 513,058.12, 769,753.16 and 246,783.85

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Solution

The fourth proportional to 513,058.12, 769,753.16 and 246,783.85 is: 370,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,058.12 : 769,753.16 = 246,783.85 : x
  2. Step 2: Convert to fraction form
    513,058.12/769,753.16 = 246,783.85/x
  3. Step 3: Cross multiply
    513,058.12x = 769,753.16 × 246,783.85
  4. Step 4: Simplify right side
    513,058.12x = 189,962,646,141.60
  5. Step 5: Solve for x
    x = 189,962,646,141.60/513,058.12
  6. Step 6: Final answer
    x = 370,255.61

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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.