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Finding the Fourth Proportional to 292,720.91, 403,944.57 and 165,393.77

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Solution

The fourth proportional to 292,720.91, 403,944.57 and 165,393.77 is: 228,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,720.91 : 403,944.57 = 165,393.77 : x
  2. Step 2: Convert to fraction form
    292,720.91/403,944.57 = 165,393.77/x
  3. Step 3: Cross multiply
    292,720.91x = 403,944.57 × 165,393.77
  4. Step 4: Simplify right side
    292,720.91x = 66,809,913,283.61
  5. Step 5: Solve for x
    x = 66,809,913,283.61/292,720.91
  6. Step 6: Final answer
    x = 228,237.59

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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.