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Finding the Fourth Proportional to 470,801.50, 649,496.24 and 313,680.12

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Solution

The fourth proportional to 470,801.50, 649,496.24 and 313,680.12 is: 432,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,801.50 : 649,496.24 = 313,680.12 : x
  2. Step 2: Convert to fraction form
    470,801.50/649,496.24 = 313,680.12/x
  3. Step 3: Cross multiply
    470,801.50x = 649,496.24 × 313,680.12
  4. Step 4: Simplify right side
    470,801.50x = 203,734,058,502.75
  5. Step 5: Solve for x
    x = 203,734,058,502.75/470,801.50
  6. Step 6: Final answer
    x = 432,738.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.