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Finding the Fourth Proportional to 417,133.38, 625,462.38 and 164,276.94

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Solution

The fourth proportional to 417,133.38, 625,462.38 and 164,276.94 is: 246,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,133.38 : 625,462.38 = 164,276.94 : x
  2. Step 2: Convert to fraction form
    417,133.38/625,462.38 = 164,276.94/x
  3. Step 3: Cross multiply
    417,133.38x = 625,462.38 × 164,276.94
  4. Step 4: Simplify right side
    417,133.38x = 102,749,045,871.52
  5. Step 5: Solve for x
    x = 102,749,045,871.52/417,133.38
  6. Step 6: Final answer
    x = 246,321.80

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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.