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Finding the Fourth Proportional to 297,777.30, 446,569.92 and 98,050.20

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Solution

The fourth proportional to 297,777.30, 446,569.92 and 98,050.20 is: 147,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,777.30 : 446,569.92 = 98,050.20 : x
  2. Step 2: Convert to fraction form
    297,777.30/446,569.92 = 98,050.20/x
  3. Step 3: Cross multiply
    297,777.30x = 446,569.92 × 98,050.20
  4. Step 4: Simplify right side
    297,777.30x = 43,786,269,969.98
  5. Step 5: Solve for x
    x = 43,786,269,969.98/297,777.30
  6. Step 6: Final answer
    x = 147,043.68

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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.