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Finding the Fourth Proportional to 470,456.47, 649,086.89 and 266,474.98

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Solution

The fourth proportional to 470,456.47, 649,086.89 and 266,474.98 is: 367,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,456.47 : 649,086.89 = 266,474.98 : x
  2. Step 2: Convert to fraction form
    470,456.47/649,086.89 = 266,474.98/x
  3. Step 3: Cross multiply
    470,456.47x = 649,086.89 × 266,474.98
  4. Step 4: Simplify right side
    470,456.47x = 172,965,416,031.01
  5. Step 5: Solve for x
    x = 172,965,416,031.01/470,456.47
  6. Step 6: Final answer
    x = 367,654.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.