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Finding the Fourth Proportional to 489,275.64, 734,197.77 and 204,941.04

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Solution

The fourth proportional to 489,275.64, 734,197.77 and 204,941.04 is: 307,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,275.64 : 734,197.77 = 204,941.04 : x
  2. Step 2: Convert to fraction form
    489,275.64/734,197.77 = 204,941.04/x
  3. Step 3: Cross multiply
    489,275.64x = 734,197.77 × 204,941.04
  4. Step 4: Simplify right side
    489,275.64x = 150,467,251,796.24
  5. Step 5: Solve for x
    x = 150,467,251,796.24/489,275.64
  6. Step 6: Final answer
    x = 307,530.64

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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.