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Finding the Fourth Proportional to 360,647.28, 541,020.12 and 150,236

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Solution

The fourth proportional to 360,647.28, 541,020.12 and 150,236 is: 225,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,647.28 : 541,020.12 = 150,236 : x
  2. Step 2: Convert to fraction form
    360,647.28/541,020.12 = 150,236/x
  3. Step 3: Cross multiply
    360,647.28x = 541,020.12 × 150,236
  4. Step 4: Simplify right side
    360,647.28x = 81,280,698,748.32
  5. Step 5: Solve for x
    x = 81,280,698,748.32/360,647.28
  6. Step 6: Final answer
    x = 225,374.50

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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.