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Finding the Fourth Proportional to 312,601.35, 431,231.15 and 197,686.46

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Solution

The fourth proportional to 312,601.35, 431,231.15 and 197,686.46 is: 272,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,601.35 : 431,231.15 = 197,686.46 : x
  2. Step 2: Convert to fraction form
    312,601.35/431,231.15 = 197,686.46/x
  3. Step 3: Cross multiply
    312,601.35x = 431,231.15 × 197,686.46
  4. Step 4: Simplify right side
    312,601.35x = 85,248,559,485.23
  5. Step 5: Solve for x
    x = 85,248,559,485.23/312,601.35
  6. Step 6: Final answer
    x = 272,706.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.