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Finding the Fourth Proportional to 400,253.76, 600,380.52 and 150,877.44

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Solution

The fourth proportional to 400,253.76, 600,380.52 and 150,877.44 is: 226,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,253.76 : 600,380.52 = 150,877.44 : x
  2. Step 2: Convert to fraction form
    400,253.76/600,380.52 = 150,877.44/x
  3. Step 3: Cross multiply
    400,253.76x = 600,380.52 × 150,877.44
  4. Step 4: Simplify right side
    400,253.76x = 90,583,875,883.47
  5. Step 5: Solve for x
    x = 90,583,875,883.47/400,253.76
  6. Step 6: Final answer
    x = 226,316.11

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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.