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Finding the Fourth Proportional to 494,505.81, 741,758.04 and 178,888.77

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Solution

The fourth proportional to 494,505.81, 741,758.04 and 178,888.77 is: 268,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,505.81 : 741,758.04 = 178,888.77 : x
  2. Step 2: Convert to fraction form
    494,505.81/741,758.04 = 178,888.77/x
  3. Step 3: Cross multiply
    494,505.81x = 741,758.04 × 178,888.77
  4. Step 4: Simplify right side
    494,505.81x = 132,692,183,413.21
  5. Step 5: Solve for x
    x = 132,692,183,413.21/494,505.81
  6. Step 6: Final answer
    x = 268,332.91

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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.