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Finding the Fourth Proportional to 454,722.74, 681,896.44 and 155,227.47

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Solution

The fourth proportional to 454,722.74, 681,896.44 and 155,227.47 is: 232,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,722.74 : 681,896.44 = 155,227.47 : x
  2. Step 2: Convert to fraction form
    454,722.74/681,896.44 = 155,227.47/x
  3. Step 3: Cross multiply
    454,722.74x = 681,896.44 × 155,227.47
  4. Step 4: Simplify right side
    454,722.74x = 105,849,059,183.21
  5. Step 5: Solve for x
    x = 105,849,059,183.21/454,722.74
  6. Step 6: Final answer
    x = 232,777.14

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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.