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Finding the Fourth Proportional to 543,189.24, 814,792.32 and 206,140.86

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Solution

The fourth proportional to 543,189.24, 814,792.32 and 206,140.86 is: 309,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,189.24 : 814,792.32 = 206,140.86 : x
  2. Step 2: Convert to fraction form
    543,189.24/814,792.32 = 206,140.86/x
  3. Step 3: Cross multiply
    543,189.24x = 814,792.32 × 206,140.86
  4. Step 4: Simplify right side
    543,189.24x = 167,961,989,566.20
  5. Step 5: Solve for x
    x = 167,961,989,566.20/543,189.24
  6. Step 6: Final answer
    x = 309,214.50

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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.