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Finding the Fourth Proportional to 463,785.80, 695,808.30 and 227,136.20

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Solution

The fourth proportional to 463,785.80, 695,808.30 and 227,136.20 is: 340,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,785.80 : 695,808.30 = 227,136.20 : x
  2. Step 2: Convert to fraction form
    463,785.80/695,808.30 = 227,136.20/x
  3. Step 3: Cross multiply
    463,785.80x = 695,808.30 × 227,136.20
  4. Step 4: Simplify right side
    463,785.80x = 158,043,253,190.46
  5. Step 5: Solve for x
    x = 158,043,253,190.46/463,785.80
  6. Step 6: Final answer
    x = 340,767.77

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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.