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Finding the Fourth Proportional to 295,957.59, 408,442.32 and 166,907.61

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Solution

The fourth proportional to 295,957.59, 408,442.32 and 166,907.61 is: 230,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,957.59 : 408,442.32 = 166,907.61 : x
  2. Step 2: Convert to fraction form
    295,957.59/408,442.32 = 166,907.61/x
  3. Step 3: Cross multiply
    295,957.59x = 408,442.32 × 166,907.61
  4. Step 4: Simplify right side
    295,957.59x = 68,172,128,577.31
  5. Step 5: Solve for x
    x = 68,172,128,577.31/295,957.59
  6. Step 6: Final answer
    x = 230,344.25

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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.