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Finding the Fourth Proportional to 348,771.60, 523,546.20 and 191,307.60

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Solution

The fourth proportional to 348,771.60, 523,546.20 and 191,307.60 is: 287,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,771.60 : 523,546.20 = 191,307.60 : x
  2. Step 2: Convert to fraction form
    348,771.60/523,546.20 = 191,307.60/x
  3. Step 3: Cross multiply
    348,771.60x = 523,546.20 × 191,307.60
  4. Step 4: Simplify right side
    348,771.60x = 100,158,367,011.12
  5. Step 5: Solve for x
    x = 100,158,367,011.12/348,771.60
  6. Step 6: Final answer
    x = 287,174.66

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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.