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Finding the Fourth Proportional to 330,614.36, 456,297.70 and 201,627.66

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Solution

The fourth proportional to 330,614.36, 456,297.70 and 201,627.66 is: 278,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,614.36 : 456,297.70 = 201,627.66 : x
  2. Step 2: Convert to fraction form
    330,614.36/456,297.70 = 201,627.66/x
  3. Step 3: Cross multiply
    330,614.36x = 456,297.70 × 201,627.66
  4. Step 4: Simplify right side
    330,614.36x = 92,002,237,514.38
  5. Step 5: Solve for x
    x = 92,002,237,514.38/330,614.36
  6. Step 6: Final answer
    x = 278,276.59

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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.