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Finding the Fourth Proportional to 460,906.60, 691,878.30 and 356,189.80

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Solution

The fourth proportional to 460,906.60, 691,878.30 and 356,189.80 is: 534,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,906.60 : 691,878.30 = 356,189.80 : x
  2. Step 2: Convert to fraction form
    460,906.60/691,878.30 = 356,189.80/x
  3. Step 3: Cross multiply
    460,906.60x = 691,878.30 × 356,189.80
  4. Step 4: Simplify right side
    460,906.60x = 246,439,993,301.34
  5. Step 5: Solve for x
    x = 246,439,993,301.34/460,906.60
  6. Step 6: Final answer
    x = 534,685.32

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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.