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Finding the Fourth Proportional to 297,306.95, 410,283.85 and 161,340.89

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Solution

The fourth proportional to 297,306.95, 410,283.85 and 161,340.89 is: 222,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,306.95 : 410,283.85 = 161,340.89 : x
  2. Step 2: Convert to fraction form
    297,306.95/410,283.85 = 161,340.89/x
  3. Step 3: Cross multiply
    297,306.95x = 410,283.85 × 161,340.89
  4. Step 4: Simplify right side
    297,306.95x = 66,195,562,133.98
  5. Step 5: Solve for x
    x = 66,195,562,133.98/297,306.95
  6. Step 6: Final answer
    x = 222,650.57

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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.