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Finding the Fourth Proportional to 654,067.94, 902,688.57 and 363,708.45

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Solution

The fourth proportional to 654,067.94, 902,688.57 and 363,708.45 is: 501,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,067.94 : 902,688.57 = 363,708.45 : x
  2. Step 2: Convert to fraction form
    654,067.94/902,688.57 = 363,708.45/x
  3. Step 3: Cross multiply
    654,067.94x = 902,688.57 × 363,708.45
  4. Step 4: Simplify right side
    654,067.94x = 328,315,460,627.42
  5. Step 5: Solve for x
    x = 328,315,460,627.42/654,067.94
  6. Step 6: Final answer
    x = 501,959.27

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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.