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Finding the Fourth Proportional to 409,560.52, 565,169.94 and 228,266.44

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Solution

The fourth proportional to 409,560.52, 565,169.94 and 228,266.44 is: 314,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,560.52 : 565,169.94 = 228,266.44 : x
  2. Step 2: Convert to fraction form
    409,560.52/565,169.94 = 228,266.44/x
  3. Step 3: Cross multiply
    409,560.52x = 565,169.94 × 228,266.44
  4. Step 4: Simplify right side
    409,560.52x = 129,009,330,198.81
  5. Step 5: Solve for x
    x = 129,009,330,198.81/409,560.52
  6. Step 6: Final answer
    x = 314,994.55

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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.