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Finding the Fourth Proportional to 349,180.14, 523,800.42 and 96,460.56

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Solution

The fourth proportional to 349,180.14, 523,800.42 and 96,460.56 is: 144,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,180.14 : 523,800.42 = 96,460.56 : x
  2. Step 2: Convert to fraction form
    349,180.14/523,800.42 = 96,460.56/x
  3. Step 3: Cross multiply
    349,180.14x = 523,800.42 × 96,460.56
  4. Step 4: Simplify right side
    349,180.14x = 50,526,081,841.44
  5. Step 5: Solve for x
    x = 50,526,081,841.44/349,180.14
  6. Step 6: Final answer
    x = 144,699.19

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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.