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Finding the Fourth Proportional to 411,599.93, 617,399.90 and 271,325.75

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Solution

The fourth proportional to 411,599.93, 617,399.90 and 271,325.75 is: 406,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,599.93 : 617,399.90 = 271,325.75 : x
  2. Step 2: Convert to fraction form
    411,599.93/617,399.90 = 271,325.75/x
  3. Step 3: Cross multiply
    411,599.93x = 617,399.90 × 271,325.75
  4. Step 4: Simplify right side
    411,599.93x = 167,516,490,201.04
  5. Step 5: Solve for x
    x = 167,516,490,201.04/411,599.93
  6. Step 6: Final answer
    x = 406,988.63

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1.5x scale

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.