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Finding the Fourth Proportional to 292,697.58, 438,995.34 and 82,285.50

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Solution

The fourth proportional to 292,697.58, 438,995.34 and 82,285.50 is: 123,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,697.58 : 438,995.34 = 82,285.50 : x
  2. Step 2: Convert to fraction form
    292,697.58/438,995.34 = 82,285.50/x
  3. Step 3: Cross multiply
    292,697.58x = 438,995.34 × 82,285.50
  4. Step 4: Simplify right side
    292,697.58x = 36,122,951,049.57
  5. Step 5: Solve for x
    x = 36,122,951,049.57/292,697.58
  6. Step 6: Final answer
    x = 123,413.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.