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Finding the Fourth Proportional to 470,661.24, 649,516.78 and 255,801.82

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Solution

The fourth proportional to 470,661.24, 649,516.78 and 255,801.82 is: 353,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,661.24 : 649,516.78 = 255,801.82 : x
  2. Step 2: Convert to fraction form
    470,661.24/649,516.78 = 255,801.82/x
  3. Step 3: Cross multiply
    470,661.24x = 649,516.78 × 255,801.82
  4. Step 4: Simplify right side
    470,661.24x = 166,147,574,444.54
  5. Step 5: Solve for x
    x = 166,147,574,444.54/470,661.24
  6. Step 6: Final answer
    x = 353,008.83

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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.