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Finding the Fourth Proportional to 311,687.93, 430,129.47 and 177,551.93

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Solution

The fourth proportional to 311,687.93, 430,129.47 and 177,551.93 is: 245,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,687.93 : 430,129.47 = 177,551.93 : x
  2. Step 2: Convert to fraction form
    311,687.93/430,129.47 = 177,551.93/x
  3. Step 3: Cross multiply
    311,687.93x = 430,129.47 × 177,551.93
  4. Step 4: Simplify right side
    311,687.93x = 76,370,317,548.38
  5. Step 5: Solve for x
    x = 76,370,317,548.38/311,687.93
  6. Step 6: Final answer
    x = 245,021.74

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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.