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Finding the Fourth Proportional to 272,033.46, 407,280.27 and 207,918.14

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Solution

The fourth proportional to 272,033.46, 407,280.27 and 207,918.14 is: 311,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,033.46 : 407,280.27 = 207,918.14 : x
  2. Step 2: Convert to fraction form
    272,033.46/407,280.27 = 207,918.14/x
  3. Step 3: Cross multiply
    272,033.46x = 407,280.27 × 207,918.14
  4. Step 4: Simplify right side
    272,033.46x = 84,680,954,160.70
  5. Step 5: Solve for x
    x = 84,680,954,160.70/272,033.46
  6. Step 6: Final answer
    x = 311,288.74

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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.