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Finding the Fourth Proportional to 470,836.17, 649,760.99 and 255,975.75

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Solution

The fourth proportional to 470,836.17, 649,760.99 and 255,975.75 is: 353,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,836.17 : 649,760.99 = 255,975.75 : x
  2. Step 2: Convert to fraction form
    470,836.17/649,760.99 = 255,975.75/x
  3. Step 3: Cross multiply
    470,836.17x = 649,760.99 × 255,975.75
  4. Step 4: Simplify right side
    470,836.17x = 166,323,055,456.11
  5. Step 5: Solve for x
    x = 166,323,055,456.11/470,836.17
  6. Step 6: Final answer
    x = 353,250.38

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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.