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Finding the Fourth Proportional to 463,784.80, 695,806.80 and 227,135.20

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Solution

The fourth proportional to 463,784.80, 695,806.80 and 227,135.20 is: 340,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,784.80 : 695,806.80 = 227,135.20 : x
  2. Step 2: Convert to fraction form
    463,784.80/695,806.80 = 227,135.20/x
  3. Step 3: Cross multiply
    463,784.80x = 695,806.80 × 227,135.20
  4. Step 4: Simplify right side
    463,784.80x = 158,042,216,679.36
  5. Step 5: Solve for x
    x = 158,042,216,679.36/463,784.80
  6. Step 6: Final answer
    x = 340,766.27

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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.