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Finding the Fourth Proportional to 297,044.32, 409,942.88 and 169,717.16

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Solution

The fourth proportional to 297,044.32, 409,942.88 and 169,717.16 is: 234,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,044.32 : 409,942.88 = 169,717.16 : x
  2. Step 2: Convert to fraction form
    297,044.32/409,942.88 = 169,717.16/x
  3. Step 3: Cross multiply
    297,044.32x = 409,942.88 × 169,717.16
  4. Step 4: Simplify right side
    297,044.32x = 69,574,341,355.82
  5. Step 5: Solve for x
    x = 69,574,341,355.82/297,044.32
  6. Step 6: Final answer
    x = 234,222.09

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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.