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Finding the Fourth Proportional to 484,191.75, 726,404.27 and 151,767.75

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Solution

The fourth proportional to 484,191.75, 726,404.27 and 151,767.75 is: 227,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,191.75 : 726,404.27 = 151,767.75 : x
  2. Step 2: Convert to fraction form
    484,191.75/726,404.27 = 151,767.75/x
  3. Step 3: Cross multiply
    484,191.75x = 726,404.27 × 151,767.75
  4. Step 4: Simplify right side
    484,191.75x = 110,244,740,889.45
  5. Step 5: Solve for x
    x = 110,244,740,889.45/484,191.75
  6. Step 6: Final answer
    x = 227,688.19

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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.