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Finding the Fourth Proportional to 567,811.14, 851,716.68 and 147,087

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Solution

The fourth proportional to 567,811.14, 851,716.68 and 147,087 is: 220,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,811.14 : 851,716.68 = 147,087 : x
  2. Step 2: Convert to fraction form
    567,811.14/851,716.68 = 147,087/x
  3. Step 3: Cross multiply
    567,811.14x = 851,716.68 × 147,087
  4. Step 4: Simplify right side
    567,811.14x = 125,276,451,311.16
  5. Step 5: Solve for x
    x = 125,276,451,311.16/567,811.14
  6. Step 6: Final answer
    x = 220,630.49

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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.