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Finding the Fourth Proportional to 411,863.61, 618,232.11 and 364,784.33

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Solution

The fourth proportional to 411,863.61, 618,232.11 and 364,784.33 is: 547,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,863.61 : 618,232.11 = 364,784.33 : x
  2. Step 2: Convert to fraction form
    411,863.61/618,232.11 = 364,784.33/x
  3. Step 3: Cross multiply
    411,863.61x = 618,232.11 × 364,784.33
  4. Step 4: Simplify right side
    411,863.61x = 225,521,387,576.42
  5. Step 5: Solve for x
    x = 225,521,387,576.42/411,863.61
  6. Step 6: Final answer
    x = 547,563.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.