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Finding the Fourth Proportional to 611,105.53, 843,480.65 and 417,591.57

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Solution

The fourth proportional to 611,105.53, 843,480.65 and 417,591.57 is: 576,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,105.53 : 843,480.65 = 417,591.57 : x
  2. Step 2: Convert to fraction form
    611,105.53/843,480.65 = 417,591.57/x
  3. Step 3: Cross multiply
    611,105.53x = 843,480.65 × 417,591.57
  4. Step 4: Simplify right side
    611,105.53x = 352,230,410,727.02
  5. Step 5: Solve for x
    x = 352,230,410,727.02/611,105.53
  6. Step 6: Final answer
    x = 576,382.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.