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Finding the Fourth Proportional to 470,718.95, 649,593.68 and 255,859.86

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Solution

The fourth proportional to 470,718.95, 649,593.68 and 255,859.86 is: 353,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,718.95 : 649,593.68 = 255,859.86 : x
  2. Step 2: Convert to fraction form
    470,718.95/649,593.68 = 255,859.86/x
  3. Step 3: Cross multiply
    470,718.95x = 649,593.68 × 255,859.86
  4. Step 4: Simplify right side
    470,718.95x = 166,204,949,178.36
  5. Step 5: Solve for x
    x = 166,204,949,178.36/470,718.95
  6. Step 6: Final answer
    x = 353,087.44

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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.