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Finding the Fourth Proportional to 234,266.70, 323,832.84 and 209,023.29

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Solution

The fourth proportional to 234,266.70, 323,832.84 and 209,023.29 is: 288,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,266.70 : 323,832.84 = 209,023.29 : x
  2. Step 2: Convert to fraction form
    234,266.70/323,832.84 = 209,023.29/x
  3. Step 3: Cross multiply
    234,266.70x = 323,832.84 × 209,023.29
  4. Step 4: Simplify right side
    234,266.70x = 67,688,605,626.84
  5. Step 5: Solve for x
    x = 67,688,605,626.84/234,266.70
  6. Step 6: Final answer
    x = 288,938.23

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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.