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Finding the Fourth Proportional to 298,056.60, 446,931.30 and 110,971.80

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Solution

The fourth proportional to 298,056.60, 446,931.30 and 110,971.80 is: 166,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,056.60 : 446,931.30 = 110,971.80 : x
  2. Step 2: Convert to fraction form
    298,056.60/446,931.30 = 110,971.80/x
  3. Step 3: Cross multiply
    298,056.60x = 446,931.30 × 110,971.80
  4. Step 4: Simplify right side
    298,056.60x = 49,596,770,837.34
  5. Step 5: Solve for x
    x = 49,596,770,837.34/298,056.60
  6. Step 6: Final answer
    x = 166,400.51

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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.