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Finding the Fourth Proportional to 493,345.77, 680,817.20 and 266,991.27

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Solution

The fourth proportional to 493,345.77, 680,817.20 and 266,991.27 is: 368,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,345.77 : 680,817.20 = 266,991.27 : x
  2. Step 2: Convert to fraction form
    493,345.77/680,817.20 = 266,991.27/x
  3. Step 3: Cross multiply
    493,345.77x = 680,817.20 × 266,991.27
  4. Step 4: Simplify right side
    493,345.77x = 181,772,246,719.00
  5. Step 5: Solve for x
    x = 181,772,246,719.00/493,345.77
  6. Step 6: Final answer
    x = 368,447.97

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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.