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Finding the Fourth Proportional to 409,205.52, 564,732 and 248,067.36

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Solution

The fourth proportional to 409,205.52, 564,732 and 248,067.36 is: 342,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,205.52 : 564,732 = 248,067.36 : x
  2. Step 2: Convert to fraction form
    409,205.52/564,732 = 248,067.36/x
  3. Step 3: Cross multiply
    409,205.52x = 564,732 × 248,067.36
  4. Step 4: Simplify right side
    409,205.52x = 140,091,576,347.52
  5. Step 5: Solve for x
    x = 140,091,576,347.52/409,205.52
  6. Step 6: Final answer
    x = 342,350.16

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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.