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Finding the Fourth Proportional to 411,782.52, 568,179.09 and 258,732.05

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Solution

The fourth proportional to 411,782.52, 568,179.09 and 258,732.05 is: 356,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,782.52 : 568,179.09 = 258,732.05 : x
  2. Step 2: Convert to fraction form
    411,782.52/568,179.09 = 258,732.05/x
  3. Step 3: Cross multiply
    411,782.52x = 568,179.09 × 258,732.05
  4. Step 4: Simplify right side
    411,782.52x = 147,006,137,881.94
  5. Step 5: Solve for x
    x = 147,006,137,881.94/411,782.52
  6. Step 6: Final answer
    x = 356,999.46

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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.