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Finding the Fourth Proportional to 297,027.91, 409,920.24 and 169,700.77

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Solution

The fourth proportional to 297,027.91, 409,920.24 and 169,700.77 is: 234,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,027.91 : 409,920.24 = 169,700.77 : x
  2. Step 2: Convert to fraction form
    297,027.91/409,920.24 = 169,700.77/x
  3. Step 3: Cross multiply
    297,027.91x = 409,920.24 × 169,700.77
  4. Step 4: Simplify right side
    297,027.91x = 69,563,780,366.58
  5. Step 5: Solve for x
    x = 69,563,780,366.58/297,027.91
  6. Step 6: Final answer
    x = 234,199.47

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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.