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Finding the Fourth Proportional to 276,583.69, 414,907.62 and 96,613.39

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Solution

The fourth proportional to 276,583.69, 414,907.62 and 96,613.39 is: 144,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,583.69 : 414,907.62 = 96,613.39 : x
  2. Step 2: Convert to fraction form
    276,583.69/414,907.62 = 96,613.39/x
  3. Step 3: Cross multiply
    276,583.69x = 414,907.62 × 96,613.39
  4. Step 4: Simplify right side
    276,583.69x = 40,085,631,705.03
  5. Step 5: Solve for x
    x = 40,085,631,705.03/276,583.69
  6. Step 6: Final answer
    x = 144,931.29

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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.