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Finding the Fourth Proportional to 289,388.20, 434,024.70 and 139,628.20

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Solution

The fourth proportional to 289,388.20, 434,024.70 and 139,628.20 is: 209,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,388.20 : 434,024.70 = 139,628.20 : x
  2. Step 2: Convert to fraction form
    289,388.20/434,024.70 = 139,628.20/x
  3. Step 3: Cross multiply
    289,388.20x = 434,024.70 × 139,628.20
  4. Step 4: Simplify right side
    289,388.20x = 60,602,087,616.54
  5. Step 5: Solve for x
    x = 60,602,087,616.54/289,388.20
  6. Step 6: Final answer
    x = 209,414.51

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