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Finding the Fourth Proportional to 300,033.40, 413,850.99 and 192,433

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Solution

The fourth proportional to 300,033.40, 413,850.99 and 192,433 is: 265,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,033.40 : 413,850.99 = 192,433 : x
  2. Step 2: Convert to fraction form
    300,033.40/413,850.99 = 192,433/x
  3. Step 3: Cross multiply
    300,033.40x = 413,850.99 × 192,433
  4. Step 4: Simplify right side
    300,033.40x = 79,638,587,558.67
  5. Step 5: Solve for x
    x = 79,638,587,558.67/300,033.40
  6. Step 6: Final answer
    x = 265,432.41

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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.