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Finding the Fourth Proportional to 288,257.94, 397,681.56 and 192,613.14

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Solution

The fourth proportional to 288,257.94, 397,681.56 and 192,613.14 is: 265,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,257.94 : 397,681.56 = 192,613.14 : x
  2. Step 2: Convert to fraction form
    288,257.94/397,681.56 = 192,613.14/x
  3. Step 3: Cross multiply
    288,257.94x = 397,681.56 × 192,613.14
  4. Step 4: Simplify right side
    288,257.94x = 76,598,693,991.70
  5. Step 5: Solve for x
    x = 76,598,693,991.70/288,257.94
  6. Step 6: Final answer
    x = 265,729.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.