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Finding the Fourth Proportional to 285,640.95, 428,462.96 and 85,959.98

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Solution

The fourth proportional to 285,640.95, 428,462.96 and 85,959.98 is: 128,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,640.95 : 428,462.96 = 85,959.98 : x
  2. Step 2: Convert to fraction form
    285,640.95/428,462.96 = 85,959.98/x
  3. Step 3: Cross multiply
    285,640.95x = 428,462.96 × 85,959.98
  4. Step 4: Simplify right side
    285,640.95x = 36,830,664,900.23
  5. Step 5: Solve for x
    x = 36,830,664,900.23/285,640.95
  6. Step 6: Final answer
    x = 128,940.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.