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Finding the Fourth Proportional to 295,418.24, 407,712.24 and 166,360.88

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Solution

The fourth proportional to 295,418.24, 407,712.24 and 166,360.88 is: 229,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,418.24 : 407,712.24 = 166,360.88 : x
  2. Step 2: Convert to fraction form
    295,418.24/407,712.24 = 166,360.88/x
  3. Step 3: Cross multiply
    295,418.24x = 407,712.24 × 166,360.88
  4. Step 4: Simplify right side
    295,418.24x = 67,827,367,033.17
  5. Step 5: Solve for x
    x = 67,827,367,033.17/295,418.24
  6. Step 6: Final answer
    x = 229,597.76

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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.