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Finding the Fourth Proportional to 298,408.59, 447,617.60 and 166,129.61

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Solution

The fourth proportional to 298,408.59, 447,617.60 and 166,129.61 is: 249,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,408.59 : 447,617.60 = 166,129.61 : x
  2. Step 2: Convert to fraction form
    298,408.59/447,617.60 = 166,129.61/x
  3. Step 3: Cross multiply
    298,408.59x = 447,617.60 × 166,129.61
  4. Step 4: Simplify right side
    298,408.59x = 74,362,534,248.40
  5. Step 5: Solve for x
    x = 74,362,534,248.40/298,408.59
  6. Step 6: Final answer
    x = 249,197.03

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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.