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Finding the Fourth Proportional to 364,365, 502,891.74 and 213,462

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Solution

The fourth proportional to 364,365, 502,891.74 and 213,462 is: 294,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,365 : 502,891.74 = 213,462 : x
  2. Step 2: Convert to fraction form
    364,365/502,891.74 = 213,462/x
  3. Step 3: Cross multiply
    364,365x = 502,891.74 × 213,462
  4. Step 4: Simplify right side
    364,365x = 107,348,276,603.88
  5. Step 5: Solve for x
    x = 107,348,276,603.88/364,365
  6. Step 6: Final answer
    x = 294,617.42

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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.