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Finding the Fourth Proportional to 298,012.23, 446,777.64 and 98,207.91

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Solution

The fourth proportional to 298,012.23, 446,777.64 and 98,207.91 is: 147,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,012.23 : 446,777.64 = 98,207.91 : x
  2. Step 2: Convert to fraction form
    298,012.23/446,777.64 = 98,207.91/x
  3. Step 3: Cross multiply
    298,012.23x = 446,777.64 × 98,207.91
  4. Step 4: Simplify right side
    298,012.23x = 43,877,099,621.60
  5. Step 5: Solve for x
    x = 43,877,099,621.60/298,012.23
  6. Step 6: Final answer
    x = 147,232.55

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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.