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Finding the Fourth Proportional to 297,523.92, 410,587.95 and 161,558.13

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Solution

The fourth proportional to 297,523.92, 410,587.95 and 161,558.13 is: 222,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,523.92 : 410,587.95 = 161,558.13 : x
  2. Step 2: Convert to fraction form
    297,523.92/410,587.95 = 161,558.13/x
  3. Step 3: Cross multiply
    297,523.92x = 410,587.95 × 161,558.13
  4. Step 4: Simplify right side
    297,523.92x = 66,333,821,402.53
  5. Step 5: Solve for x
    x = 66,333,821,402.53/297,523.92
  6. Step 6: Final answer
    x = 222,952.90

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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.