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Finding the Fourth Proportional to 470,436.46, 649,155.46 and 266,446.68

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Solution

The fourth proportional to 470,436.46, 649,155.46 and 266,446.68 is: 367,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,436.46 : 649,155.46 = 266,446.68 : x
  2. Step 2: Convert to fraction form
    470,436.46/649,155.46 = 266,446.68/x
  3. Step 3: Cross multiply
    470,436.46x = 649,155.46 × 266,446.68
  4. Step 4: Simplify right side
    470,436.46x = 172,965,317,120.87
  5. Step 5: Solve for x
    x = 172,965,317,120.87/470,436.46
  6. Step 6: Final answer
    x = 367,669.88

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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.