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Finding the Fourth Proportional to 469,783.60, 704,884.20 and 189,847.60

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Solution

The fourth proportional to 469,783.60, 704,884.20 and 189,847.60 is: 284,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,783.60 : 704,884.20 = 189,847.60 : x
  2. Step 2: Convert to fraction form
    469,783.60/704,884.20 = 189,847.60/x
  3. Step 3: Cross multiply
    469,783.60x = 704,884.20 × 189,847.60
  4. Step 4: Simplify right side
    469,783.60x = 133,820,573,647.92
  5. Step 5: Solve for x
    x = 133,820,573,647.92/469,783.60
  6. Step 6: Final answer
    x = 284,855.78

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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.