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Finding the Fourth Proportional to 277,228.80, 414,805.20 and 197,451.20

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Solution

The fourth proportional to 277,228.80, 414,805.20 and 197,451.20 is: 295,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,228.80 : 414,805.20 = 197,451.20 : x
  2. Step 2: Convert to fraction form
    277,228.80/414,805.20 = 197,451.20/x
  3. Step 3: Cross multiply
    277,228.80x = 414,805.20 × 197,451.20
  4. Step 4: Simplify right side
    277,228.80x = 81,903,784,506.24
  5. Step 5: Solve for x
    x = 81,903,784,506.24/277,228.80
  6. Step 6: Final answer
    x = 295,437.50

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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.