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Finding the Fourth Proportional to 315,168, 434,968.26 and 175,480.66

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Solution

The fourth proportional to 315,168, 434,968.26 and 175,480.66 is: 242,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,168 : 434,968.26 = 175,480.66 : x
  2. Step 2: Convert to fraction form
    315,168/434,968.26 = 175,480.66/x
  3. Step 3: Cross multiply
    315,168x = 434,968.26 × 175,480.66
  4. Step 4: Simplify right side
    315,168x = 76,328,517,343.85
  5. Step 5: Solve for x
    x = 76,328,517,343.85/315,168
  6. Step 6: Final answer
    x = 242,183.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.