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Finding the Fourth Proportional to 257,633.83, 386,263.92 and 173,184.54

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Solution

The fourth proportional to 257,633.83, 386,263.92 and 173,184.54 is: 259,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,633.83 : 386,263.92 = 173,184.54 : x
  2. Step 2: Convert to fraction form
    257,633.83/386,263.92 = 173,184.54/x
  3. Step 3: Cross multiply
    257,633.83x = 386,263.92 × 173,184.54
  4. Step 4: Simplify right side
    257,633.83x = 66,894,937,472.21
  5. Step 5: Solve for x
    x = 66,894,937,472.21/257,633.83
  6. Step 6: Final answer
    x = 259,651.21

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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.