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Finding the Fourth Proportional to 311,710.06, 430,316.31 and 204,444.46

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Solution

The fourth proportional to 311,710.06, 430,316.31 and 204,444.46 is: 282,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,710.06 : 430,316.31 = 204,444.46 : x
  2. Step 2: Convert to fraction form
    311,710.06/430,316.31 = 204,444.46/x
  3. Step 3: Cross multiply
    311,710.06x = 430,316.31 × 204,444.46
  4. Step 4: Simplify right side
    311,710.06x = 87,975,785,627.14
  5. Step 5: Solve for x
    x = 87,975,785,627.14/311,710.06
  6. Step 6: Final answer
    x = 282,235.95

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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.