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Finding the Fourth Proportional to 293,041.96, 404,370.66 and 165,717.16

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Solution

The fourth proportional to 293,041.96, 404,370.66 and 165,717.16 is: 228,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,041.96 : 404,370.66 = 165,717.16 : x
  2. Step 2: Convert to fraction form
    293,041.96/404,370.66 = 165,717.16/x
  3. Step 3: Cross multiply
    293,041.96x = 404,370.66 × 165,717.16
  4. Step 4: Simplify right side
    293,041.96x = 67,011,157,362.53
  5. Step 5: Solve for x
    x = 67,011,157,362.53/293,041.96
  6. Step 6: Final answer
    x = 228,674.27

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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.