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Finding the Fourth Proportional to 292,391.82, 403,478.19 and 165,079.98

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Solution

The fourth proportional to 292,391.82, 403,478.19 and 165,079.98 is: 227,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,391.82 : 403,478.19 = 165,079.98 : x
  2. Step 2: Convert to fraction form
    292,391.82/403,478.19 = 165,079.98/x
  3. Step 3: Cross multiply
    292,391.82x = 403,478.19 × 165,079.98
  4. Step 4: Simplify right side
    292,391.82x = 66,606,171,535.64
  5. Step 5: Solve for x
    x = 66,606,171,535.64/292,391.82
  6. Step 6: Final answer
    x = 227,797.66

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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.