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Finding the Fourth Proportional to 289,812.80, 434,719.20 and 249,723.20

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Solution

The fourth proportional to 289,812.80, 434,719.20 and 249,723.20 is: 374,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,812.80 : 434,719.20 = 249,723.20 : x
  2. Step 2: Convert to fraction form
    289,812.80/434,719.20 = 249,723.20/x
  3. Step 3: Cross multiply
    289,812.80x = 434,719.20 × 249,723.20
  4. Step 4: Simplify right side
    289,812.80x = 108,559,469,725.44
  5. Step 5: Solve for x
    x = 108,559,469,725.44/289,812.80
  6. Step 6: Final answer
    x = 374,584.80

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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.