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Finding the Fourth Proportional to 454,478.40, 681,796.80 and 188,092.80

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Solution

The fourth proportional to 454,478.40, 681,796.80 and 188,092.80 is: 282,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,478.40 : 681,796.80 = 188,092.80 : x
  2. Step 2: Convert to fraction form
    454,478.40/681,796.80 = 188,092.80/x
  3. Step 3: Cross multiply
    454,478.40x = 681,796.80 × 188,092.80
  4. Step 4: Simplify right side
    454,478.40x = 128,241,069,143.04
  5. Step 5: Solve for x
    x = 128,241,069,143.04/454,478.40
  6. Step 6: Final answer
    x = 282,171.98

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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.