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Finding the Fourth Proportional to 536,270.48, 804,408.16 and 181,286.40

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Solution

The fourth proportional to 536,270.48, 804,408.16 and 181,286.40 is: 271,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,270.48 : 804,408.16 = 181,286.40 : x
  2. Step 2: Convert to fraction form
    536,270.48/804,408.16 = 181,286.40/x
  3. Step 3: Cross multiply
    536,270.48x = 804,408.16 × 181,286.40
  4. Step 4: Simplify right side
    536,270.48x = 145,828,259,457.02
  5. Step 5: Solve for x
    x = 145,828,259,457.02/536,270.48
  6. Step 6: Final answer
    x = 271,930.42

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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.