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Finding the Fourth Proportional to 467,072.68, 644,564.10 and 265,881.64

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Solution

The fourth proportional to 467,072.68, 644,564.10 and 265,881.64 is: 366,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,072.68 : 644,564.10 = 265,881.64 : x
  2. Step 2: Convert to fraction form
    467,072.68/644,564.10 = 265,881.64/x
  3. Step 3: Cross multiply
    467,072.68x = 644,564.10 × 265,881.64
  4. Step 4: Simplify right side
    467,072.68x = 171,377,759,993.12
  5. Step 5: Solve for x
    x = 171,377,759,993.12/467,072.68
  6. Step 6: Final answer
    x = 366,918.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.