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Finding the Fourth Proportional to 498,033.36, 747,341.64 and 182,512.44

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Solution

The fourth proportional to 498,033.36, 747,341.64 and 182,512.44 is: 273,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,033.36 : 747,341.64 = 182,512.44 : x
  2. Step 2: Convert to fraction form
    498,033.36/747,341.64 = 182,512.44/x
  3. Step 3: Cross multiply
    498,033.36x = 747,341.64 × 182,512.44
  4. Step 4: Simplify right side
    498,033.36x = 136,399,146,230.00
  5. Step 5: Solve for x
    x = 136,399,146,230.00/498,033.36
  6. Step 6: Final answer
    x = 273,875.52

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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.