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Finding the Fourth Proportional to 293,013.36, 404,366.40 and 165,708

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Solution

The fourth proportional to 293,013.36, 404,366.40 and 165,708 is: 228,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,013.36 : 404,366.40 = 165,708 : x
  2. Step 2: Convert to fraction form
    293,013.36/404,366.40 = 165,708/x
  3. Step 3: Cross multiply
    293,013.36x = 404,366.40 × 165,708
  4. Step 4: Simplify right side
    293,013.36x = 67,006,747,411.20
  5. Step 5: Solve for x
    x = 67,006,747,411.20/293,013.36
  6. Step 6: Final answer
    x = 228,681.54

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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.