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Finding the Fourth Proportional to 298,046.60, 446,916.30 and 110,961.80

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Solution

The fourth proportional to 298,046.60, 446,916.30 and 110,961.80 is: 166,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,046.60 : 446,916.30 = 110,961.80 : x
  2. Step 2: Convert to fraction form
    298,046.60/446,916.30 = 110,961.80/x
  3. Step 3: Cross multiply
    298,046.60x = 446,916.30 × 110,961.80
  4. Step 4: Simplify right side
    298,046.60x = 49,590,637,097.34
  5. Step 5: Solve for x
    x = 49,590,637,097.34/298,046.60
  6. Step 6: Final answer
    x = 166,385.52

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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.