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Finding the Fourth Proportional to 503,771.40, 694,470.12 and 382,702.50

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Solution

The fourth proportional to 503,771.40, 694,470.12 and 382,702.50 is: 527,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,771.40 : 694,470.12 = 382,702.50 : x
  2. Step 2: Convert to fraction form
    503,771.40/694,470.12 = 382,702.50/x
  3. Step 3: Cross multiply
    503,771.40x = 694,470.12 × 382,702.50
  4. Step 4: Simplify right side
    503,771.40x = 265,775,451,099.30
  5. Step 5: Solve for x
    x = 265,775,451,099.30/503,771.40
  6. Step 6: Final answer
    x = 527,571.54

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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.