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Finding the Fourth Proportional to 470,659.74, 649,514.70 and 255,800.31

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Solution

The fourth proportional to 470,659.74, 649,514.70 and 255,800.31 is: 353,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,659.74 : 649,514.70 = 255,800.31 : x
  2. Step 2: Convert to fraction form
    470,659.74/649,514.70 = 255,800.31/x
  3. Step 3: Cross multiply
    470,659.74x = 649,514.70 × 255,800.31
  4. Step 4: Simplify right side
    470,659.74x = 166,146,061,609.56
  5. Step 5: Solve for x
    x = 166,146,061,609.56/470,659.74
  6. Step 6: Final answer
    x = 353,006.74

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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.