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Finding the Fourth Proportional to 309,410.69, 464,125.75 and 96,179.70

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Solution

The fourth proportional to 309,410.69, 464,125.75 and 96,179.70 is: 144,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,410.69 : 464,125.75 = 96,179.70 : x
  2. Step 2: Convert to fraction form
    309,410.69/464,125.75 = 96,179.70/x
  3. Step 3: Cross multiply
    309,410.69x = 464,125.75 × 96,179.70
  4. Step 4: Simplify right side
    309,410.69x = 44,639,476,897.30
  5. Step 5: Solve for x
    x = 44,639,476,897.30/309,410.69
  6. Step 6: Final answer
    x = 144,272.58

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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.