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Finding the Fourth Proportional to 293,119.40, 404,506.50 and 165,787.40

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Solution

The fourth proportional to 293,119.40, 404,506.50 and 165,787.40 is: 228,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,119.40 : 404,506.50 = 165,787.40 : x
  2. Step 2: Convert to fraction form
    293,119.40/404,506.50 = 165,787.40/x
  3. Step 3: Cross multiply
    293,119.40x = 404,506.50 × 165,787.40
  4. Step 4: Simplify right side
    293,119.40x = 67,062,080,918.10
  5. Step 5: Solve for x
    x = 67,062,080,918.10/293,119.40
  6. Step 6: Final answer
    x = 228,787.59

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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.