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Finding the Fourth Proportional to 272,167.62, 408,260.54 and 209,083.60

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Solution

The fourth proportional to 272,167.62, 408,260.54 and 209,083.60 is: 313,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,167.62 : 408,260.54 = 209,083.60 : x
  2. Step 2: Convert to fraction form
    272,167.62/408,260.54 = 209,083.60/x
  3. Step 3: Cross multiply
    272,167.62x = 408,260.54 × 209,083.60
  4. Step 4: Simplify right side
    272,167.62x = 85,360,583,441.14
  5. Step 5: Solve for x
    x = 85,360,583,441.14/272,167.62
  6. Step 6: Final answer
    x = 313,632.40

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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.