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Finding the Fourth Proportional to 417,123.20, 625,814.40 and 164,435.60

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Solution

The fourth proportional to 417,123.20, 625,814.40 and 164,435.60 is: 246,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,123.20 : 625,814.40 = 164,435.60 : x
  2. Step 2: Convert to fraction form
    417,123.20/625,814.40 = 164,435.60/x
  3. Step 3: Cross multiply
    417,123.20x = 625,814.40 × 164,435.60
  4. Step 4: Simplify right side
    417,123.20x = 102,906,166,352.64
  5. Step 5: Solve for x
    x = 102,906,166,352.64/417,123.20
  6. Step 6: Final answer
    x = 246,704.49

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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.