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Finding the Fourth Proportional to 470,908.43, 649,861.76 and 256,049.95

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Solution

The fourth proportional to 470,908.43, 649,861.76 and 256,049.95 is: 353,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,908.43 : 649,861.76 = 256,049.95 : x
  2. Step 2: Convert to fraction form
    470,908.43/649,861.76 = 256,049.95/x
  3. Step 3: Cross multiply
    470,908.43x = 649,861.76 × 256,049.95
  4. Step 4: Simplify right side
    470,908.43x = 166,397,071,154.91
  5. Step 5: Solve for x
    x = 166,397,071,154.91/470,908.43
  6. Step 6: Final answer
    x = 353,353.35

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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.