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Finding the Fourth Proportional to 349,078.26, 523,647.44 and 96,358.80

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Solution

The fourth proportional to 349,078.26, 523,647.44 and 96,358.80 is: 144,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,078.26 : 523,647.44 = 96,358.80 : x
  2. Step 2: Convert to fraction form
    349,078.26/523,647.44 = 96,358.80/x
  3. Step 3: Cross multiply
    349,078.26x = 523,647.44 × 96,358.80
  4. Step 4: Simplify right side
    349,078.26x = 50,458,038,941.47
  5. Step 5: Solve for x
    x = 50,458,038,941.47/349,078.26
  6. Step 6: Final answer
    x = 144,546.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.