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Finding the Fourth Proportional to 266,808.40, 401,087.40 and 188,465.20

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Solution

The fourth proportional to 266,808.40, 401,087.40 and 188,465.20 is: 283,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,808.40 : 401,087.40 = 188,465.20 : x
  2. Step 2: Convert to fraction form
    266,808.40/401,087.40 = 188,465.20/x
  3. Step 3: Cross multiply
    266,808.40x = 401,087.40 × 188,465.20
  4. Step 4: Simplify right side
    266,808.40x = 75,591,017,058.48
  5. Step 5: Solve for x
    x = 75,591,017,058.48/266,808.40
  6. Step 6: Final answer
    x = 283,315.73

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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.