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Finding the Fourth Proportional to 228,657.40, 343,331.70 and 176,126.20

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Solution

The fourth proportional to 228,657.40, 343,331.70 and 176,126.20 is: 264,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,657.40 : 343,331.70 = 176,126.20 : x
  2. Step 2: Convert to fraction form
    228,657.40/343,331.70 = 176,126.20/x
  3. Step 3: Cross multiply
    228,657.40x = 343,331.70 × 176,126.20
  4. Step 4: Simplify right side
    228,657.40x = 60,469,707,660.54
  5. Step 5: Solve for x
    x = 60,469,707,660.54/228,657.40
  6. Step 6: Final answer
    x = 264,455.50

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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.