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Finding the Fourth Proportional to 494,894.15, 742,340.94 and 179,350.55

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Solution

The fourth proportional to 494,894.15, 742,340.94 and 179,350.55 is: 269,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,894.15 : 742,340.94 = 179,350.55 : x
  2. Step 2: Convert to fraction form
    494,894.15/742,340.94 = 179,350.55/x
  3. Step 3: Cross multiply
    494,894.15x = 742,340.94 × 179,350.55
  4. Step 4: Simplify right side
    494,894.15x = 133,139,252,164.81
  5. Step 5: Solve for x
    x = 133,139,252,164.81/494,894.15
  6. Step 6: Final answer
    x = 269,025.72

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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.