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Finding the Fourth Proportional to 299,364.50, 413,123.55 and 165,228.50

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Solution

The fourth proportional to 299,364.50, 413,123.55 and 165,228.50 is: 228,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,364.50 : 413,123.55 = 165,228.50 : x
  2. Step 2: Convert to fraction form
    299,364.50/413,123.55 = 165,228.50/x
  3. Step 3: Cross multiply
    299,364.50x = 413,123.55 × 165,228.50
  4. Step 4: Simplify right side
    299,364.50x = 68,259,784,481.18
  5. Step 5: Solve for x
    x = 68,259,784,481.18/299,364.50
  6. Step 6: Final answer
    x = 228,015.63

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1.5x scale

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.