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Finding the Fourth Proportional to 297,297.38, 410,267.27 and 166,475.29

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Solution

The fourth proportional to 297,297.38, 410,267.27 and 166,475.29 is: 229,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,297.38 : 410,267.27 = 166,475.29 : x
  2. Step 2: Convert to fraction form
    297,297.38/410,267.27 = 166,475.29/x
  3. Step 3: Cross multiply
    297,297.38x = 410,267.27 × 166,475.29
  4. Step 4: Simplify right side
    297,297.38x = 68,299,362,750.76
  5. Step 5: Solve for x
    x = 68,299,362,750.76/297,297.38
  6. Step 6: Final answer
    x = 229,734.16

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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.