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Finding the Fourth Proportional to 277,136.80, 414,667.20 and 197,359.20

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Solution

The fourth proportional to 277,136.80, 414,667.20 and 197,359.20 is: 295,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,136.80 : 414,667.20 = 197,359.20 : x
  2. Step 2: Convert to fraction form
    277,136.80/414,667.20 = 197,359.20/x
  3. Step 3: Cross multiply
    277,136.80x = 414,667.20 × 197,359.20
  4. Step 4: Simplify right side
    277,136.80x = 81,838,386,858.24
  5. Step 5: Solve for x
    x = 81,838,386,858.24/277,136.80
  6. Step 6: Final answer
    x = 295,299.60

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1.5x scale

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.