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Finding the Fourth Proportional to 360,838.60, 497,944.98 and 199,700.44

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Solution

The fourth proportional to 360,838.60, 497,944.98 and 199,700.44 is: 275,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,838.60 : 497,944.98 = 199,700.44 : x
  2. Step 2: Convert to fraction form
    360,838.60/497,944.98 = 199,700.44/x
  3. Step 3: Cross multiply
    360,838.60x = 497,944.98 × 199,700.44
  4. Step 4: Simplify right side
    360,838.60x = 99,439,831,601.79
  5. Step 5: Solve for x
    x = 99,439,831,601.79/360,838.60
  6. Step 6: Final answer
    x = 275,579.81

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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.