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Finding the Fourth Proportional to 413,665.82, 620,530.17 and 160,837.69

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Solution

The fourth proportional to 413,665.82, 620,530.17 and 160,837.69 is: 241,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,665.82 : 620,530.17 = 160,837.69 : x
  2. Step 2: Convert to fraction form
    413,665.82/620,530.17 = 160,837.69/x
  3. Step 3: Cross multiply
    413,665.82x = 620,530.17 × 160,837.69
  4. Step 4: Simplify right side
    413,665.82x = 99,804,639,118.11
  5. Step 5: Solve for x
    x = 99,804,639,118.11/413,665.82
  6. Step 6: Final answer
    x = 241,268.76

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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.