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Finding the Fourth Proportional to 517,446.82, 776,268.90 and 180,583.69

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Solution

The fourth proportional to 517,446.82, 776,268.90 and 180,583.69 is: 270,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,446.82 : 776,268.90 = 180,583.69 : x
  2. Step 2: Convert to fraction form
    517,446.82/776,268.90 = 180,583.69/x
  3. Step 3: Cross multiply
    517,446.82x = 776,268.90 × 180,583.69
  4. Step 4: Simplify right side
    517,446.82x = 140,181,502,394.24
  5. Step 5: Solve for x
    x = 140,181,502,394.24/517,446.82
  6. Step 6: Final answer
    x = 270,909.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.