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Finding the Fourth Proportional to 493,571.99, 740,210.85 and 209,257.97

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Solution

The fourth proportional to 493,571.99, 740,210.85 and 209,257.97 is: 313,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,571.99 : 740,210.85 = 209,257.97 : x
  2. Step 2: Convert to fraction form
    493,571.99/740,210.85 = 209,257.97/x
  3. Step 3: Cross multiply
    493,571.99x = 740,210.85 × 209,257.97
  4. Step 4: Simplify right side
    493,571.99x = 154,895,021,693.50
  5. Step 5: Solve for x
    x = 154,895,021,693.50/493,571.99
  6. Step 6: Final answer
    x = 313,824.58

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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.