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Finding the Fourth Proportional to 475,245.57, 711,169.79 and 412,801.46

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Solution

The fourth proportional to 475,245.57, 711,169.79 and 412,801.46 is: 617,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,245.57 : 711,169.79 = 412,801.46 : x
  2. Step 2: Convert to fraction form
    475,245.57/711,169.79 = 412,801.46/x
  3. Step 3: Cross multiply
    475,245.57x = 711,169.79 × 412,801.46
  4. Step 4: Simplify right side
    475,245.57x = 293,571,922,000.04
  5. Step 5: Solve for x
    x = 293,571,922,000.04/475,245.57
  6. Step 6: Final answer
    x = 617,726.79

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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.