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Finding the Fourth Proportional to 498,027.60, 746,587.80 and 182,408.40

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Solution

The fourth proportional to 498,027.60, 746,587.80 and 182,408.40 is: 273,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,027.60 : 746,587.80 = 182,408.40 : x
  2. Step 2: Convert to fraction form
    498,027.60/746,587.80 = 182,408.40/x
  3. Step 3: Cross multiply
    498,027.60x = 746,587.80 × 182,408.40
  4. Step 4: Simplify right side
    498,027.60x = 136,183,886,057.52
  5. Step 5: Solve for x
    x = 136,183,886,057.52/498,027.60
  6. Step 6: Final answer
    x = 273,446.46

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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.