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Finding the Fourth Proportional to 297,658.80, 446,641.29 and 164,514.24

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Solution

The fourth proportional to 297,658.80, 446,641.29 and 164,514.24 is: 246,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,658.80 : 446,641.29 = 164,514.24 : x
  2. Step 2: Convert to fraction form
    297,658.80/446,641.29 = 164,514.24/x
  3. Step 3: Cross multiply
    297,658.80x = 446,641.29 × 164,514.24
  4. Step 4: Simplify right side
    297,658.80x = 73,478,852,376.97
  5. Step 5: Solve for x
    x = 73,478,852,376.97/297,658.80
  6. Step 6: Final answer
    x = 246,855.97

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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.