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Finding the Fourth Proportional to 541,504.56, 813,002.16 and 275,444.94

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Solution

The fourth proportional to 541,504.56, 813,002.16 and 275,444.94 is: 413,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,504.56 : 813,002.16 = 275,444.94 : x
  2. Step 2: Convert to fraction form
    541,504.56/813,002.16 = 275,444.94/x
  3. Step 3: Cross multiply
    541,504.56x = 813,002.16 × 275,444.94
  4. Step 4: Simplify right side
    541,504.56x = 223,937,331,181.07
  5. Step 5: Solve for x
    x = 223,937,331,181.07/541,504.56
  6. Step 6: Final answer
    x = 413,546.53

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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.