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Finding the Fourth Proportional to 412,992.02, 570,091.08 and 292,761.74

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Solution

The fourth proportional to 412,992.02, 570,091.08 and 292,761.74 is: 404,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992.02 : 570,091.08 = 292,761.74 : x
  2. Step 2: Convert to fraction form
    412,992.02/570,091.08 = 292,761.74/x
  3. Step 3: Cross multiply
    412,992.02x = 570,091.08 × 292,761.74
  4. Step 4: Simplify right side
    412,992.02x = 166,900,856,539.28
  5. Step 5: Solve for x
    x = 166,900,856,539.28/412,992.02
  6. Step 6: Final answer
    x = 404,126.11

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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.