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Finding the Fourth Proportional to 320,065.74, 480,092.40 and 95,578.29

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Solution

The fourth proportional to 320,065.74, 480,092.40 and 95,578.29 is: 143,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,065.74 : 480,092.40 = 95,578.29 : x
  2. Step 2: Convert to fraction form
    320,065.74/480,092.40 = 95,578.29/x
  3. Step 3: Cross multiply
    320,065.74x = 480,092.40 × 95,578.29
  4. Step 4: Simplify right side
    320,065.74x = 45,886,410,634.00
  5. Step 5: Solve for x
    x = 45,886,410,634.00/320,065.74
  6. Step 6: Final answer
    x = 143,365.58

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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.