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Finding the Fourth Proportional to 293,713.56, 405,299.52 and 162,894.96

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Solution

The fourth proportional to 293,713.56, 405,299.52 and 162,894.96 is: 224,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,713.56 : 405,299.52 = 162,894.96 : x
  2. Step 2: Convert to fraction form
    293,713.56/405,299.52 = 162,894.96/x
  3. Step 3: Cross multiply
    293,713.56x = 405,299.52 × 162,894.96
  4. Step 4: Simplify right side
    293,713.56x = 66,021,249,098.42
  5. Step 5: Solve for x
    x = 66,021,249,098.42/293,713.56
  6. Step 6: Final answer
    x = 224,781.07

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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.