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Finding the Fourth Proportional to 538,695.58, 743,405.62 and 296,986.80

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Solution

The fourth proportional to 538,695.58, 743,405.62 and 296,986.80 is: 409,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,695.58 : 743,405.62 = 296,986.80 : x
  2. Step 2: Convert to fraction form
    538,695.58/743,405.62 = 296,986.80/x
  3. Step 3: Cross multiply
    538,695.58x = 743,405.62 × 296,986.80
  4. Step 4: Simplify right side
    538,695.58x = 220,781,656,185.82
  5. Step 5: Solve for x
    x = 220,781,656,185.82/538,695.58
  6. Step 6: Final answer
    x = 409,844.94

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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.