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Finding the Fourth Proportional to 297,027.78, 409,920.06 and 169,700.64

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Solution

The fourth proportional to 297,027.78, 409,920.06 and 169,700.64 is: 234,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,027.78 : 409,920.06 = 169,700.64 : x
  2. Step 2: Convert to fraction form
    297,027.78/409,920.06 = 169,700.64/x
  3. Step 3: Cross multiply
    297,027.78x = 409,920.06 × 169,700.64
  4. Step 4: Simplify right side
    297,027.78x = 69,563,696,530.84
  5. Step 5: Solve for x
    x = 69,563,696,530.84/297,027.78
  6. Step 6: Final answer
    x = 234,199.29

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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.