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Finding the Fourth Proportional to 228,412.20, 343,007.10 and 169,314.60

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Solution

The fourth proportional to 228,412.20, 343,007.10 and 169,314.60 is: 254,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,412.20 : 343,007.10 = 169,314.60 : x
  2. Step 2: Convert to fraction form
    228,412.20/343,007.10 = 169,314.60/x
  3. Step 3: Cross multiply
    228,412.20x = 343,007.10 × 169,314.60
  4. Step 4: Simplify right side
    228,412.20x = 58,076,109,933.66
  5. Step 5: Solve for x
    x = 58,076,109,933.66/228,412.20
  6. Step 6: Final answer
    x = 254,260.10

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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.