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Finding the Fourth Proportional to 584,199.40, 876,234.30 and 478,834.60

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Solution

The fourth proportional to 584,199.40, 876,234.30 and 478,834.60 is: 718,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,199.40 : 876,234.30 = 478,834.60 : x
  2. Step 2: Convert to fraction form
    584,199.40/876,234.30 = 478,834.60/x
  3. Step 3: Cross multiply
    584,199.40x = 876,234.30 × 478,834.60
  4. Step 4: Simplify right side
    584,199.40x = 419,571,300,546.78
  5. Step 5: Solve for x
    x = 419,571,300,546.78/584,199.40
  6. Step 6: Final answer
    x = 718,198.79

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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.