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Finding the Fourth Proportional to 323,069.60, 484,892.40 and 189,783.20

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Solution

The fourth proportional to 323,069.60, 484,892.40 and 189,783.20 is: 284,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,069.60 : 484,892.40 = 189,783.20 : x
  2. Step 2: Convert to fraction form
    323,069.60/484,892.40 = 189,783.20/x
  3. Step 3: Cross multiply
    323,069.60x = 484,892.40 × 189,783.20
  4. Step 4: Simplify right side
    323,069.60x = 92,024,431,327.68
  5. Step 5: Solve for x
    x = 92,024,431,327.68/323,069.60
  6. Step 6: Final answer
    x = 284,843.98

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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.