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Finding the Fourth Proportional to 287,272.46, 433,059.92 and 268,004.98

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Solution

The fourth proportional to 287,272.46, 433,059.92 and 268,004.98 is: 404,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,272.46 : 433,059.92 = 268,004.98 : x
  2. Step 2: Convert to fraction form
    287,272.46/433,059.92 = 268,004.98/x
  3. Step 3: Cross multiply
    287,272.46x = 433,059.92 × 268,004.98
  4. Step 4: Simplify right side
    287,272.46x = 116,062,215,198.40
  5. Step 5: Solve for x
    x = 116,062,215,198.40/287,272.46
  6. Step 6: Final answer
    x = 404,014.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.