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Finding the Fourth Proportional to 496,552, 685,241.76 and 270,199.12

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Solution

The fourth proportional to 496,552, 685,241.76 and 270,199.12 is: 372,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,552 : 685,241.76 = 270,199.12 : x
  2. Step 2: Convert to fraction form
    496,552/685,241.76 = 270,199.12/x
  3. Step 3: Cross multiply
    496,552x = 685,241.76 × 270,199.12
  4. Step 4: Simplify right side
    496,552x = 185,151,720,539.25
  5. Step 5: Solve for x
    x = 185,151,720,539.25/496,552
  6. Step 6: Final answer
    x = 372,874.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.