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Finding the Fourth Proportional to 547,953.40, 821,930.10 and 415,093.15

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Solution

The fourth proportional to 547,953.40, 821,930.10 and 415,093.15 is: 622,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,953.40 : 821,930.10 = 415,093.15 : x
  2. Step 2: Convert to fraction form
    547,953.40/821,930.10 = 415,093.15/x
  3. Step 3: Cross multiply
    547,953.40x = 821,930.10 × 415,093.15
  4. Step 4: Simplify right side
    547,953.40x = 341,177,554,288.82
  5. Step 5: Solve for x
    x = 341,177,554,288.82/547,953.40
  6. Step 6: Final answer
    x = 622,639.73

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Similar ratio
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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.