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Finding the Fourth Proportional to 510,577.42, 765,865.77 and 229,766.62

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Solution

The fourth proportional to 510,577.42, 765,865.77 and 229,766.62 is: 344,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,577.42 : 765,865.77 = 229,766.62 : x
  2. Step 2: Convert to fraction form
    510,577.42/765,865.77 = 229,766.62/x
  3. Step 3: Cross multiply
    510,577.42x = 765,865.77 × 229,766.62
  4. Step 4: Simplify right side
    510,577.42x = 175,970,389,346.60
  5. Step 5: Solve for x
    x = 175,970,389,346.60/510,577.42
  6. Step 6: Final answer
    x = 344,649.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.