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Finding the Fourth Proportional to 465,451.53, 699,228.30 and 276,036.14

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Solution

The fourth proportional to 465,451.53, 699,228.30 and 276,036.14 is: 414,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,451.53 : 699,228.30 = 276,036.14 : x
  2. Step 2: Convert to fraction form
    465,451.53/699,228.30 = 276,036.14/x
  3. Step 3: Cross multiply
    465,451.53x = 699,228.30 × 276,036.14
  4. Step 4: Simplify right side
    465,451.53x = 193,012,277,414.62
  5. Step 5: Solve for x
    x = 193,012,277,414.62/465,451.53
  6. Step 6: Final answer
    x = 414,677.50

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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.