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Finding the Fourth Proportional to 296,804.50, 409,616.13 and 162,694.42

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Solution

The fourth proportional to 296,804.50, 409,616.13 and 162,694.42 is: 224,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,804.50 : 409,616.13 = 162,694.42 : x
  2. Step 2: Convert to fraction form
    296,804.50/409,616.13 = 162,694.42/x
  3. Step 3: Cross multiply
    296,804.50x = 409,616.13 × 162,694.42
  4. Step 4: Simplify right side
    296,804.50x = 66,642,258,692.99
  5. Step 5: Solve for x
    x = 66,642,258,692.99/296,804.50
  6. Step 6: Final answer
    x = 224,532.51

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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.