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Finding the Fourth Proportional to 297,574.72, 446,364.40 and 110,586

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Solution

The fourth proportional to 297,574.72, 446,364.40 and 110,586 is: 165,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,574.72 : 446,364.40 = 110,586 : x
  2. Step 2: Convert to fraction form
    297,574.72/446,364.40 = 110,586/x
  3. Step 3: Cross multiply
    297,574.72x = 446,364.40 × 110,586
  4. Step 4: Simplify right side
    297,574.72x = 49,361,653,538.40
  5. Step 5: Solve for x
    x = 49,361,653,538.40/297,574.72
  6. Step 6: Final answer
    x = 165,879.86

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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.