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Finding the Fourth Proportional to 501,744.63, 692,397.72 and 283,949.28

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Solution

The fourth proportional to 501,744.63, 692,397.72 and 283,949.28 is: 391,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,744.63 : 692,397.72 = 283,949.28 : x
  2. Step 2: Convert to fraction form
    501,744.63/692,397.72 = 283,949.28/x
  3. Step 3: Cross multiply
    501,744.63x = 692,397.72 × 283,949.28
  4. Step 4: Simplify right side
    501,744.63x = 196,605,834,067.64
  5. Step 5: Solve for x
    x = 196,605,834,067.64/501,744.63
  6. Step 6: Final answer
    x = 391,844.42

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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.