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Finding the Fourth Proportional to 600,073.28, 827,710.94 and 384,872.48

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Solution

The fourth proportional to 600,073.28, 827,710.94 and 384,872.48 is: 530,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,073.28 : 827,710.94 = 384,872.48 : x
  2. Step 2: Convert to fraction form
    600,073.28/827,710.94 = 384,872.48/x
  3. Step 3: Cross multiply
    600,073.28x = 827,710.94 × 384,872.48
  4. Step 4: Simplify right side
    600,073.28x = 318,563,162,200.93
  5. Step 5: Solve for x
    x = 318,563,162,200.93/600,073.28
  6. Step 6: Final answer
    x = 530,873.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.