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Finding the Fourth Proportional to 292,749.74, 403,989.38 and 165,422.60

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Solution

The fourth proportional to 292,749.74, 403,989.38 and 165,422.60 is: 228,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,749.74 : 403,989.38 = 165,422.60 : x
  2. Step 2: Convert to fraction form
    292,749.74/403,989.38 = 165,422.60/x
  3. Step 3: Cross multiply
    292,749.74x = 403,989.38 × 165,422.60
  4. Step 4: Simplify right side
    292,749.74x = 66,828,970,764.93
  5. Step 5: Solve for x
    x = 66,828,970,764.93/292,749.74
  6. Step 6: Final answer
    x = 228,280.21

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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.