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Finding the Fourth Proportional to 470,694.16, 649,561.80 and 255,834.28

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Solution

The fourth proportional to 470,694.16, 649,561.80 and 255,834.28 is: 353,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,694.16 : 649,561.80 = 255,834.28 : x
  2. Step 2: Convert to fraction form
    470,694.16/649,561.80 = 255,834.28/x
  3. Step 3: Cross multiply
    470,694.16x = 649,561.80 × 255,834.28
  4. Step 4: Simplify right side
    470,694.16x = 166,180,175,418.50
  5. Step 5: Solve for x
    x = 166,180,175,418.50/470,694.16
  6. Step 6: Final answer
    x = 353,053.40

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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.