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Finding the Fourth Proportional to 498,537.36, 747,904.65 and 182,997

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Solution

The fourth proportional to 498,537.36, 747,904.65 and 182,997 is: 274,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,537.36 : 747,904.65 = 182,997 : x
  2. Step 2: Convert to fraction form
    498,537.36/747,904.65 = 182,997/x
  3. Step 3: Cross multiply
    498,537.36x = 747,904.65 × 182,997
  4. Step 4: Simplify right side
    498,537.36x = 136,864,307,236.05
  5. Step 5: Solve for x
    x = 136,864,307,236.05/498,537.36
  6. Step 6: Final answer
    x = 274,531.70

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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.