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Finding the Fourth Proportional to 468,918.63, 647,132.85 and 264,978.14

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Solution

The fourth proportional to 468,918.63, 647,132.85 and 264,978.14 is: 365,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,918.63 : 647,132.85 = 264,978.14 : x
  2. Step 2: Convert to fraction form
    468,918.63/647,132.85 = 264,978.14/x
  3. Step 3: Cross multiply
    468,918.63x = 647,132.85 × 264,978.14
  4. Step 4: Simplify right side
    468,918.63x = 171,476,055,690.24
  5. Step 5: Solve for x
    x = 171,476,055,690.24/468,918.63
  6. Step 6: Final answer
    x = 365,684.03

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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.