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Finding the Fourth Proportional to 470,694.18, 649,561.95 and 255,834.21

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Solution

The fourth proportional to 470,694.18, 649,561.95 and 255,834.21 is: 353,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,694.18 : 649,561.95 = 255,834.21 : x
  2. Step 2: Convert to fraction form
    470,694.18/649,561.95 = 255,834.21/x
  3. Step 3: Cross multiply
    470,694.18x = 649,561.95 × 255,834.21
  4. Step 4: Simplify right side
    470,694.18x = 166,180,168,324.31
  5. Step 5: Solve for x
    x = 166,180,168,324.31/470,694.18
  6. Step 6: Final answer
    x = 353,053.37

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Why These Related Problems?

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