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Finding the Fourth Proportional to 417,250.16, 626,132.22 and 164,487.64

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Solution

The fourth proportional to 417,250.16, 626,132.22 and 164,487.64 is: 246,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,250.16 : 626,132.22 = 164,487.64 : x
  2. Step 2: Convert to fraction form
    417,250.16/626,132.22 = 164,487.64/x
  3. Step 3: Cross multiply
    417,250.16x = 626,132.22 × 164,487.64
  4. Step 4: Simplify right side
    417,250.16x = 102,991,009,630.43
  5. Step 5: Solve for x
    x = 102,991,009,630.43/417,250.16
  6. Step 6: Final answer
    x = 246,832.76

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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.