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Finding the Fourth Proportional to 292,753.74, 403,994.90 and 165,426.60

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Solution

The fourth proportional to 292,753.74, 403,994.90 and 165,426.60 is: 228,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,753.74 : 403,994.90 = 165,426.60 : x
  2. Step 2: Convert to fraction form
    292,753.74/403,994.90 = 165,426.60/x
  3. Step 3: Cross multiply
    292,753.74x = 403,994.90 × 165,426.60
  4. Step 4: Simplify right side
    292,753.74x = 66,831,501,897.21
  5. Step 5: Solve for x
    x = 66,831,501,897.21/292,753.74
  6. Step 6: Final answer
    x = 228,285.73

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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.