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Finding the Fourth Proportional to 292,753.54, 403,994.64 and 165,426.40

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Solution

The fourth proportional to 292,753.54, 403,994.64 and 165,426.40 is: 228,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,753.54 : 403,994.64 = 165,426.40 : x
  2. Step 2: Convert to fraction form
    292,753.54/403,994.64 = 165,426.40/x
  3. Step 3: Cross multiply
    292,753.54x = 403,994.64 × 165,426.40
  4. Step 4: Simplify right side
    292,753.54x = 66,831,379,109.31
  5. Step 5: Solve for x
    x = 66,831,379,109.31/292,753.54
  6. Step 6: Final answer
    x = 228,285.47

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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.