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Finding the Fourth Proportional to 289,843.20, 434,073.60 and 289,843.20

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Solution

The fourth proportional to 289,843.20, 434,073.60 and 289,843.20 is: 434,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,843.20 : 434,073.60 = 289,843.20 : x
  2. Step 2: Convert to fraction form
    289,843.20/434,073.60 = 289,843.20/x
  3. Step 3: Cross multiply
    289,843.20x = 434,073.60 × 289,843.20
  4. Step 4: Simplify right side
    289,843.20x = 125,813,281,259.52
  5. Step 5: Solve for x
    x = 125,813,281,259.52/289,843.20
  6. Step 6: Final answer
    x = 434,073.60

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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.