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Finding the Fourth Proportional to 297,504.78, 446,257.14 and 75,888.78

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Solution

The fourth proportional to 297,504.78, 446,257.14 and 75,888.78 is: 113,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,504.78 : 446,257.14 = 75,888.78 : x
  2. Step 2: Convert to fraction form
    297,504.78/446,257.14 = 75,888.78/x
  3. Step 3: Cross multiply
    297,504.78x = 446,257.14 × 75,888.78
  4. Step 4: Simplify right side
    297,504.78x = 33,865,909,920.89
  5. Step 5: Solve for x
    x = 33,865,909,920.89/297,504.78
  6. Step 6: Final answer
    x = 113,833.16

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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.