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Finding the Fourth Proportional to 397,578.60, 596,163.60 and 117,059.40

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Solution

The fourth proportional to 397,578.60, 596,163.60 and 117,059.40 is: 175,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,578.60 : 596,163.60 = 117,059.40 : x
  2. Step 2: Convert to fraction form
    397,578.60/596,163.60 = 117,059.40/x
  3. Step 3: Cross multiply
    397,578.60x = 596,163.60 × 117,059.40
  4. Step 4: Simplify right side
    397,578.60x = 69,786,553,317.84
  5. Step 5: Solve for x
    x = 69,786,553,317.84/397,578.60
  6. Step 6: Final answer
    x = 175,528.95

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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.