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Finding the Fourth Proportional to 228,415.20, 343,011.60 and 169,317.60

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Solution

The fourth proportional to 228,415.20, 343,011.60 and 169,317.60 is: 254,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,415.20 : 343,011.60 = 169,317.60 : x
  2. Step 2: Convert to fraction form
    228,415.20/343,011.60 = 169,317.60/x
  3. Step 3: Cross multiply
    228,415.20x = 343,011.60 × 169,317.60
  4. Step 4: Simplify right side
    228,415.20x = 58,077,900,884.16
  5. Step 5: Solve for x
    x = 58,077,900,884.16/228,415.20
  6. Step 6: Final answer
    x = 254,264.61

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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.