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Finding the Fourth Proportional to 364,606.58, 502,954.89 and 213,674.42

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Solution

The fourth proportional to 364,606.58, 502,954.89 and 213,674.42 is: 294,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,606.58 : 502,954.89 = 213,674.42 : x
  2. Step 2: Convert to fraction form
    364,606.58/502,954.89 = 213,674.42/x
  3. Step 3: Cross multiply
    364,606.58x = 502,954.89 × 213,674.42
  4. Step 4: Simplify right side
    364,606.58x = 107,468,591,892.14
  5. Step 5: Solve for x
    x = 107,468,591,892.14/364,606.58
  6. Step 6: Final answer
    x = 294,752.20

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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.