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Finding the Fourth Proportional to 289,524.66, 434,180.25 and 99,936.78

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Solution

The fourth proportional to 289,524.66, 434,180.25 and 99,936.78 is: 149,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,524.66 : 434,180.25 = 99,936.78 : x
  2. Step 2: Convert to fraction form
    289,524.66/434,180.25 = 99,936.78/x
  3. Step 3: Cross multiply
    289,524.66x = 434,180.25 × 99,936.78
  4. Step 4: Simplify right side
    289,524.66x = 43,390,576,124.60
  5. Step 5: Solve for x
    x = 43,390,576,124.60/289,524.66
  6. Step 6: Final answer
    x = 149,868.33

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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.