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Finding the Fourth Proportional to 382,906.13, 574,621.65 and 133,588.13

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Solution

The fourth proportional to 382,906.13, 574,621.65 and 133,588.13 is: 200,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,906.13 : 574,621.65 = 133,588.13 : x
  2. Step 2: Convert to fraction form
    382,906.13/574,621.65 = 133,588.13/x
  3. Step 3: Cross multiply
    382,906.13x = 574,621.65 × 133,588.13
  4. Step 4: Simplify right side
    382,906.13x = 76,762,628,807.91
  5. Step 5: Solve for x
    x = 76,762,628,807.91/382,906.13
  6. Step 6: Final answer
    x = 200,473.76

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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.