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Finding the Fourth Proportional to 377,179.92, 565,954.56 and 177,492.24

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Solution

The fourth proportional to 377,179.92, 565,954.56 and 177,492.24 is: 266,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,179.92 : 565,954.56 = 177,492.24 : x
  2. Step 2: Convert to fraction form
    377,179.92/565,954.56 = 177,492.24/x
  3. Step 3: Cross multiply
    377,179.92x = 565,954.56 × 177,492.24
  4. Step 4: Simplify right side
    377,179.92x = 100,452,542,592.61
  5. Step 5: Solve for x
    x = 100,452,542,592.61/377,179.92
  6. Step 6: Final answer
    x = 266,325.27

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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.