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Finding the Fourth Proportional to 670,414.34, 925,191.05 and 408,785.00

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Solution

The fourth proportional to 670,414.34, 925,191.05 and 408,785.00 is: 564,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,414.34 : 925,191.05 = 408,785.00 : x
  2. Step 2: Convert to fraction form
    670,414.34/925,191.05 = 408,785.00/x
  3. Step 3: Cross multiply
    670,414.34x = 925,191.05 × 408,785.00
  4. Step 4: Simplify right side
    670,414.34x = 378,204,216,704.37
  5. Step 5: Solve for x
    x = 378,204,216,704.37/670,414.34
  6. Step 6: Final answer
    x = 564,135.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.