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Finding the Fourth Proportional to 295,904.02, 408,339.35 and 166,841.37

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Solution

The fourth proportional to 295,904.02, 408,339.35 and 166,841.37 is: 230,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,904.02 : 408,339.35 = 166,841.37 : x
  2. Step 2: Convert to fraction form
    295,904.02/408,339.35 = 166,841.37/x
  3. Step 3: Cross multiply
    295,904.02x = 408,339.35 × 166,841.37
  4. Step 4: Simplify right side
    295,904.02x = 68,127,896,578.91
  5. Step 5: Solve for x
    x = 68,127,896,578.91/295,904.02
  6. Step 6: Final answer
    x = 230,236.47

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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.