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Finding the Fourth Proportional to 297,456.24, 446,184.36 and 75,840.24

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Solution

The fourth proportional to 297,456.24, 446,184.36 and 75,840.24 is: 113,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,456.24 : 446,184.36 = 75,840.24 : x
  2. Step 2: Convert to fraction form
    297,456.24/446,184.36 = 75,840.24/x
  3. Step 3: Cross multiply
    297,456.24x = 446,184.36 × 75,840.24
  4. Step 4: Simplify right side
    297,456.24x = 33,838,728,946.65
  5. Step 5: Solve for x
    x = 33,838,728,946.65/297,456.24
  6. Step 6: Final answer
    x = 113,760.36

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1.5x scale

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.