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Finding the Fourth Proportional to 295,957.71, 408,442.49 and 166,907.73

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Solution

The fourth proportional to 295,957.71, 408,442.49 and 166,907.73 is: 230,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,957.71 : 408,442.49 = 166,907.73 : x
  2. Step 2: Convert to fraction form
    295,957.71/408,442.49 = 166,907.73/x
  3. Step 3: Cross multiply
    295,957.71x = 408,442.49 × 166,907.73
  4. Step 4: Simplify right side
    295,957.71x = 68,172,208,841.45
  5. Step 5: Solve for x
    x = 68,172,208,841.45/295,957.71
  6. Step 6: Final answer
    x = 230,344.43

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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.