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Finding the Fourth Proportional to 300,476.78, 414,938.94 and 193,233

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Solution

The fourth proportional to 300,476.78, 414,938.94 and 193,233 is: 266,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,476.78 : 414,938.94 = 193,233 : x
  2. Step 2: Convert to fraction form
    300,476.78/414,938.94 = 193,233/x
  3. Step 3: Cross multiply
    300,476.78x = 414,938.94 × 193,233
  4. Step 4: Simplify right side
    300,476.78x = 80,179,896,193.02
  5. Step 5: Solve for x
    x = 80,179,896,193.02/300,476.78
  6. Step 6: Final answer
    x = 266,842.24

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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.