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Finding the Fourth Proportional to 292,380.99, 403,485.71 and 165,056.58

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Solution

The fourth proportional to 292,380.99, 403,485.71 and 165,056.58 is: 227,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,380.99 : 403,485.71 = 165,056.58 : x
  2. Step 2: Convert to fraction form
    292,380.99/403,485.71 = 165,056.58/x
  3. Step 3: Cross multiply
    292,380.99x = 403,485.71 × 165,056.58
  4. Step 4: Simplify right side
    292,380.99x = 66,597,970,546.19
  5. Step 5: Solve for x
    x = 66,597,970,546.19/292,380.99
  6. Step 6: Final answer
    x = 227,778.05

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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.