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Finding the Fourth Proportional to 349,079.22, 523,608.38 and 96,375.14

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Solution

The fourth proportional to 349,079.22, 523,608.38 and 96,375.14 is: 144,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,079.22 : 523,608.38 = 96,375.14 : x
  2. Step 2: Convert to fraction form
    349,079.22/523,608.38 = 96,375.14/x
  3. Step 3: Cross multiply
    349,079.22x = 523,608.38 × 96,375.14
  4. Step 4: Simplify right side
    349,079.22x = 50,462,827,827.76
  5. Step 5: Solve for x
    x = 50,462,827,827.76/349,079.22
  6. Step 6: Final answer
    x = 144,559.82

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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.