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Finding the Fourth Proportional to 268,998.10, 402,622.35 and 209,511.70

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Solution

The fourth proportional to 268,998.10, 402,622.35 and 209,511.70 is: 313,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,998.10 : 402,622.35 = 209,511.70 : x
  2. Step 2: Convert to fraction form
    268,998.10/402,622.35 = 209,511.70/x
  3. Step 3: Cross multiply
    268,998.10x = 402,622.35 × 209,511.70
  4. Step 4: Simplify right side
    268,998.10x = 84,354,093,006.50
  5. Step 5: Solve for x
    x = 84,354,093,006.50/268,998.10
  6. Step 6: Final answer
    x = 313,586.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.