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Finding the Fourth Proportional to 411,339.97, 617,023.59 and 141,465.43

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Solution

The fourth proportional to 411,339.97, 617,023.59 and 141,465.43 is: 212,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,339.97 : 617,023.59 = 141,465.43 : x
  2. Step 2: Convert to fraction form
    411,339.97/617,023.59 = 141,465.43/x
  3. Step 3: Cross multiply
    411,339.97x = 617,023.59 × 141,465.43
  4. Step 4: Simplify right side
    411,339.97x = 87,287,507,479.49
  5. Step 5: Solve for x
    x = 87,287,507,479.49/411,339.97
  6. Step 6: Final answer
    x = 212,202.83

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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.