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Finding the Fourth Proportional to 297,570.85, 410,647.66 and 161,604.84

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Solution

The fourth proportional to 297,570.85, 410,647.66 and 161,604.84 is: 223,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,570.85 : 410,647.66 = 161,604.84 : x
  2. Step 2: Convert to fraction form
    297,570.85/410,647.66 = 161,604.84/x
  3. Step 3: Cross multiply
    297,570.85x = 410,647.66 × 161,604.84
  4. Step 4: Simplify right side
    297,570.85x = 66,362,648,216.70
  5. Step 5: Solve for x
    x = 66,362,648,216.70/297,570.85
  6. Step 6: Final answer
    x = 223,014.62

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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.