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Finding the Fourth Proportional to 297,605.34, 410,698.89 and 161,640.90

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Solution

The fourth proportional to 297,605.34, 410,698.89 and 161,640.90 is: 223,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,605.34 : 410,698.89 = 161,640.90 : x
  2. Step 2: Convert to fraction form
    297,605.34/410,698.89 = 161,640.90/x
  3. Step 3: Cross multiply
    297,605.34x = 410,698.89 × 161,640.90
  4. Step 4: Simplify right side
    297,605.34x = 66,385,738,208.60
  5. Step 5: Solve for x
    x = 66,385,738,208.60/297,605.34
  6. Step 6: Final answer
    x = 223,066.35

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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.