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Finding the Fourth Proportional to 460,732.96, 635,786.96 and 259,516.32

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Solution

The fourth proportional to 460,732.96, 635,786.96 and 259,516.32 is: 358,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,732.96 : 635,786.96 = 259,516.32 : x
  2. Step 2: Convert to fraction form
    460,732.96/635,786.96 = 259,516.32/x
  3. Step 3: Cross multiply
    460,732.96x = 635,786.96 × 259,516.32
  4. Step 4: Simplify right side
    460,732.96x = 164,997,092,163.19
  5. Step 5: Solve for x
    x = 164,997,092,163.19/460,732.96
  6. Step 6: Final answer
    x = 358,118.71

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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.