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Finding the Fourth Proportional to 470,906.46, 649,849.43 and 256,047.08

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Solution

The fourth proportional to 470,906.46, 649,849.43 and 256,047.08 is: 353,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,906.46 : 649,849.43 = 256,047.08 : x
  2. Step 2: Convert to fraction form
    470,906.46/649,849.43 = 256,047.08/x
  3. Step 3: Cross multiply
    470,906.46x = 649,849.43 × 256,047.08
  4. Step 4: Simplify right side
    470,906.46x = 166,392,046,382.04
  5. Step 5: Solve for x
    x = 166,392,046,382.04/470,906.46
  6. Step 6: Final answer
    x = 353,344.16

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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.