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Finding the Fourth Proportional to 297,572.80, 446,218.44 and 115,288.96

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Solution

The fourth proportional to 297,572.80, 446,218.44 and 115,288.96 is: 172,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,572.80 : 446,218.44 = 115,288.96 : x
  2. Step 2: Convert to fraction form
    297,572.80/446,218.44 = 115,288.96/x
  3. Step 3: Cross multiply
    297,572.80x = 446,218.44 × 115,288.96
  4. Step 4: Simplify right side
    297,572.80x = 51,444,059,880.42
  5. Step 5: Solve for x
    x = 51,444,059,880.42/297,572.80
  6. Step 6: Final answer
    x = 172,878.91

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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.