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Finding the Fourth Proportional to 312,583.39, 468,875.09 and 75,924.47

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Solution

The fourth proportional to 312,583.39, 468,875.09 and 75,924.47 is: 113,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,583.39 : 468,875.09 = 75,924.47 : x
  2. Step 2: Convert to fraction form
    312,583.39/468,875.09 = 75,924.47/x
  3. Step 3: Cross multiply
    312,583.39x = 468,875.09 × 75,924.47
  4. Step 4: Simplify right side
    312,583.39x = 35,599,092,324.83
  5. Step 5: Solve for x
    x = 35,599,092,324.83/312,583.39
  6. Step 6: Final answer
    x = 113,886.71

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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.