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Finding the Fourth Proportional to 551,565.60, 827,249.76 and 146,760

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Solution

The fourth proportional to 551,565.60, 827,249.76 and 146,760 is: 220,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,565.60 : 827,249.76 = 146,760 : x
  2. Step 2: Convert to fraction form
    551,565.60/827,249.76 = 146,760/x
  3. Step 3: Cross multiply
    551,565.60x = 827,249.76 × 146,760
  4. Step 4: Simplify right side
    551,565.60x = 121,407,174,777.60
  5. Step 5: Solve for x
    x = 121,407,174,777.60/551,565.60
  6. Step 6: Final answer
    x = 220,113.75

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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.