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Finding the Fourth Proportional to 264,602.94, 396,609.03 and 114,618.48

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Solution

The fourth proportional to 264,602.94, 396,609.03 and 114,618.48 is: 171,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,602.94 : 396,609.03 = 114,618.48 : x
  2. Step 2: Convert to fraction form
    264,602.94/396,609.03 = 114,618.48/x
  3. Step 3: Cross multiply
    264,602.94x = 396,609.03 × 114,618.48
  4. Step 4: Simplify right side
    264,602.94x = 45,458,724,172.87
  5. Step 5: Solve for x
    x = 45,458,724,172.87/264,602.94
  6. Step 6: Final answer
    x = 171,799.77

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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.