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Finding the Fourth Proportional to 411,364.62, 617,268.38 and 410,112.59

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Solution

The fourth proportional to 411,364.62, 617,268.38 and 410,112.59 is: 615,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,364.62 : 617,268.38 = 410,112.59 : x
  2. Step 2: Convert to fraction form
    411,364.62/617,268.38 = 410,112.59/x
  3. Step 3: Cross multiply
    411,364.62x = 617,268.38 × 410,112.59
  4. Step 4: Simplify right side
    411,364.62x = 253,149,528,910.00
  5. Step 5: Solve for x
    x = 253,149,528,910.00/411,364.62
  6. Step 6: Final answer
    x = 615,389.65

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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.