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Finding the Fourth Proportional to 454,662.86, 681,994.17 and 155,143.41

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Solution

The fourth proportional to 454,662.86, 681,994.17 and 155,143.41 is: 232,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,662.86 : 681,994.17 = 155,143.41 : x
  2. Step 2: Convert to fraction form
    454,662.86/681,994.17 = 155,143.41/x
  3. Step 3: Cross multiply
    454,662.86x = 681,994.17 × 155,143.41
  4. Step 4: Simplify right side
    454,662.86x = 105,806,901,133.92
  5. Step 5: Solve for x
    x = 105,806,901,133.92/454,662.86
  6. Step 6: Final answer
    x = 232,715.07

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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.