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Finding the Fourth Proportional to 293,049.38, 404,386.50 and 163,970.72

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Solution

The fourth proportional to 293,049.38, 404,386.50 and 163,970.72 is: 226,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,049.38 : 404,386.50 = 163,970.72 : x
  2. Step 2: Convert to fraction form
    293,049.38/404,386.50 = 163,970.72/x
  3. Step 3: Cross multiply
    293,049.38x = 404,386.50 × 163,970.72
  4. Step 4: Simplify right side
    293,049.38x = 66,307,545,563.28
  5. Step 5: Solve for x
    x = 66,307,545,563.28/293,049.38
  6. Step 6: Final answer
    x = 226,267.48

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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.