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Finding the Fourth Proportional to 293,048.96, 404,380.32 and 165,724.16

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Solution

The fourth proportional to 293,048.96, 404,380.32 and 165,724.16 is: 228,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,048.96 : 404,380.32 = 165,724.16 : x
  2. Step 2: Convert to fraction form
    293,048.96/404,380.32 = 165,724.16/x
  3. Step 3: Cross multiply
    293,048.96x = 404,380.32 × 165,724.16
  4. Step 4: Simplify right side
    293,048.96x = 67,015,588,852.53
  5. Step 5: Solve for x
    x = 67,015,588,852.53/293,048.96
  6. Step 6: Final answer
    x = 228,683.93

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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.