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Finding the Fourth Proportional to 294,429.64, 406,080.66 and 248,326.60

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Solution

The fourth proportional to 294,429.64, 406,080.66 and 248,326.60 is: 342,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,429.64 : 406,080.66 = 248,326.60 : x
  2. Step 2: Convert to fraction form
    294,429.64/406,080.66 = 248,326.60/x
  3. Step 3: Cross multiply
    294,429.64x = 406,080.66 × 248,326.60
  4. Step 4: Simplify right side
    294,429.64x = 100,840,629,623.56
  5. Step 5: Solve for x
    x = 100,840,629,623.56/294,429.64
  6. Step 6: Final answer
    x = 342,494.83

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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.