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Finding the Fourth Proportional to 417,784.46, 626,778.48 and 133,474.64

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Solution

The fourth proportional to 417,784.46, 626,778.48 and 133,474.64 is: 200,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,784.46 : 626,778.48 = 133,474.64 : x
  2. Step 2: Convert to fraction form
    417,784.46/626,778.48 = 133,474.64/x
  3. Step 3: Cross multiply
    417,784.46x = 626,778.48 × 133,474.64
  4. Step 4: Simplify right side
    417,784.46x = 83,659,031,977.75
  5. Step 5: Solve for x
    x = 83,659,031,977.75/417,784.46
  6. Step 6: Final answer
    x = 200,244.48

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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.