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Finding the Fourth Proportional to 311,629.88, 430,083.40 and 180,836.34

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Solution

The fourth proportional to 311,629.88, 430,083.40 and 180,836.34 is: 249,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,629.88 : 430,083.40 = 180,836.34 : x
  2. Step 2: Convert to fraction form
    311,629.88/430,083.40 = 180,836.34/x
  3. Step 3: Cross multiply
    311,629.88x = 430,083.40 × 180,836.34
  4. Step 4: Simplify right side
    311,629.88x = 77,774,708,644.14
  5. Step 5: Solve for x
    x = 77,774,708,644.14/311,629.88
  6. Step 6: Final answer
    x = 249,573.98

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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.