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Finding the Fourth Proportional to 289,806.80, 434,839.80 and 102,952.40

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Solution

The fourth proportional to 289,806.80, 434,839.80 and 102,952.40 is: 154,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,806.80 : 434,839.80 = 102,952.40 : x
  2. Step 2: Convert to fraction form
    289,806.80/434,839.80 = 102,952.40/x
  3. Step 3: Cross multiply
    289,806.80x = 434,839.80 × 102,952.40
  4. Step 4: Simplify right side
    289,806.80x = 44,767,801,025.52
  5. Step 5: Solve for x
    x = 44,767,801,025.52/289,806.80
  6. Step 6: Final answer
    x = 154,474.64

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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.