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Finding the Fourth Proportional to 289,634.08, 434,344.56 and 100,046.20

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Solution

The fourth proportional to 289,634.08, 434,344.56 and 100,046.20 is: 150,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,634.08 : 434,344.56 = 100,046.20 : x
  2. Step 2: Convert to fraction form
    289,634.08/434,344.56 = 100,046.20/x
  3. Step 3: Cross multiply
    289,634.08x = 434,344.56 × 100,046.20
  4. Step 4: Simplify right side
    289,634.08x = 43,454,522,718.67
  5. Step 5: Solve for x
    x = 43,454,522,718.67/289,634.08
  6. Step 6: Final answer
    x = 150,032.49

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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.