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Finding the Fourth Proportional to 286,634.93, 394,872.45 and 200,432.71

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Solution

The fourth proportional to 286,634.93, 394,872.45 and 200,432.71 is: 276,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,634.93 : 394,872.45 = 200,432.71 : x
  2. Step 2: Convert to fraction form
    286,634.93/394,872.45 = 200,432.71/x
  3. Step 3: Cross multiply
    286,634.93x = 394,872.45 × 200,432.71
  4. Step 4: Simplify right side
    286,634.93x = 79,145,353,283.48
  5. Step 5: Solve for x
    x = 79,145,353,283.48/286,634.93
  6. Step 6: Final answer
    x = 276,119.01

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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.