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Finding the Fourth Proportional to 410,033.37, 565,540.57 and 301,103.47

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Solution

The fourth proportional to 410,033.37, 565,540.57 and 301,103.47 is: 415,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,033.37 : 565,540.57 = 301,103.47 : x
  2. Step 2: Convert to fraction form
    410,033.37/565,540.57 = 301,103.47/x
  3. Step 3: Cross multiply
    410,033.37x = 565,540.57 × 301,103.47
  4. Step 4: Simplify right side
    410,033.37x = 170,286,228,052.78
  5. Step 5: Solve for x
    x = 170,286,228,052.78/410,033.37
  6. Step 6: Final answer
    x = 415,298.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.