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Finding the Fourth Proportional to 463,776.80, 695,765.12 and 143,922.40

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Solution

The fourth proportional to 463,776.80, 695,765.12 and 143,922.40 is: 215,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,776.80 : 695,765.12 = 143,922.40 : x
  2. Step 2: Convert to fraction form
    463,776.80/695,765.12 = 143,922.40/x
  3. Step 3: Cross multiply
    463,776.80x = 695,765.12 × 143,922.40
  4. Step 4: Simplify right side
    463,776.80x = 100,136,185,906.69
  5. Step 5: Solve for x
    x = 100,136,185,906.69/463,776.80
  6. Step 6: Final answer
    x = 215,914.61

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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.