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Finding the Fourth Proportional to 498,662.06, 748,057.77 and 228,725.10

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Solution

The fourth proportional to 498,662.06, 748,057.77 and 228,725.10 is: 343,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,662.06 : 748,057.77 = 228,725.10 : x
  2. Step 2: Convert to fraction form
    498,662.06/748,057.77 = 228,725.10/x
  3. Step 3: Cross multiply
    498,662.06x = 748,057.77 × 228,725.10
  4. Step 4: Simplify right side
    498,662.06x = 171,099,588,249.03
  5. Step 5: Solve for x
    x = 171,099,588,249.03/498,662.06
  6. Step 6: Final answer
    x = 343,117.32

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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.