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Finding the Fourth Proportional to 294,306.54, 441,070.97 and 107,138.22

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Solution

The fourth proportional to 294,306.54, 441,070.97 and 107,138.22 is: 160,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,306.54 : 441,070.97 = 107,138.22 : x
  2. Step 2: Convert to fraction form
    294,306.54/441,070.97 = 107,138.22/x
  3. Step 3: Cross multiply
    294,306.54x = 441,070.97 × 107,138.22
  4. Step 4: Simplify right side
    294,306.54x = 47,255,558,083.78
  5. Step 5: Solve for x
    x = 47,255,558,083.78/294,306.54
  6. Step 6: Final answer
    x = 160,565.78

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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.