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Finding the Fourth Proportional to 259,287, 388,930.50 and 62,295

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Solution

The fourth proportional to 259,287, 388,930.50 and 62,295 is: 93,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,287 : 388,930.50 = 62,295 : x
  2. Step 2: Convert to fraction form
    259,287/388,930.50 = 62,295/x
  3. Step 3: Cross multiply
    259,287x = 388,930.50 × 62,295
  4. Step 4: Simplify right side
    259,287x = 24,228,425,497.50
  5. Step 5: Solve for x
    x = 24,228,425,497.50/259,287
  6. Step 6: Final answer
    x = 93,442.50

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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.