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Finding the Fourth Proportional to 522,094.40, 782,104.80 and 311,105.60

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Solution

The fourth proportional to 522,094.40, 782,104.80 and 311,105.60 is: 466,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,094.40 : 782,104.80 = 311,105.60 : x
  2. Step 2: Convert to fraction form
    522,094.40/782,104.80 = 311,105.60/x
  3. Step 3: Cross multiply
    522,094.40x = 782,104.80 × 311,105.60
  4. Step 4: Simplify right side
    522,094.40x = 243,317,183,066.88
  5. Step 5: Solve for x
    x = 243,317,183,066.88/522,094.40
  6. Step 6: Final answer
    x = 466,040.59

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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.