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Finding the Fourth Proportional to 470,659.86, 649,515.66 and 255,799.98

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Solution

The fourth proportional to 470,659.86, 649,515.66 and 255,799.98 is: 353,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,659.86 : 649,515.66 = 255,799.98 : x
  2. Step 2: Convert to fraction form
    470,659.86/649,515.66 = 255,799.98/x
  3. Step 3: Cross multiply
    470,659.86x = 649,515.66 × 255,799.98
  4. Step 4: Simplify right side
    470,659.86x = 166,146,092,837.69
  5. Step 5: Solve for x
    x = 166,146,092,837.69/470,659.86
  6. Step 6: Final answer
    x = 353,006.72

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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.