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Finding the Fourth Proportional to 382,281.53, 527,502.38 and 210,171.11

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Solution

The fourth proportional to 382,281.53, 527,502.38 and 210,171.11 is: 290,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,281.53 : 527,502.38 = 210,171.11 : x
  2. Step 2: Convert to fraction form
    382,281.53/527,502.38 = 210,171.11/x
  3. Step 3: Cross multiply
    382,281.53x = 527,502.38 × 210,171.11
  4. Step 4: Simplify right side
    382,281.53x = 110,865,757,043.87
  5. Step 5: Solve for x
    x = 110,865,757,043.87/382,281.53
  6. Step 6: Final answer
    x = 290,010.76

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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.