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Finding the Fourth Proportional to 498,272.63, 747,408.94 and 161,594.91

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Solution

The fourth proportional to 498,272.63, 747,408.94 and 161,594.91 is: 242,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,272.63 : 747,408.94 = 161,594.91 : x
  2. Step 2: Convert to fraction form
    498,272.63/747,408.94 = 161,594.91/x
  3. Step 3: Cross multiply
    498,272.63x = 747,408.94 × 161,594.91
  4. Step 4: Simplify right side
    498,272.63x = 120,777,479,988.51
  5. Step 5: Solve for x
    x = 120,777,479,988.51/498,272.63
  6. Step 6: Final answer
    x = 242,392.37

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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.