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Finding the Fourth Proportional to 408,567.88, 612,715.74 and 171,866.44

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Solution

The fourth proportional to 408,567.88, 612,715.74 and 171,866.44 is: 257,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,567.88 : 612,715.74 = 171,866.44 : x
  2. Step 2: Convert to fraction form
    408,567.88/612,715.74 = 171,866.44/x
  3. Step 3: Cross multiply
    408,567.88x = 612,715.74 × 171,866.44
  4. Step 4: Simplify right side
    408,567.88x = 105,305,272,965.77
  5. Step 5: Solve for x
    x = 105,305,272,965.77/408,567.88
  6. Step 6: Final answer
    x = 257,742.42

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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.