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Finding the Fourth Proportional to 364,720.34, 503,398.06 and 213,865.94

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Solution

The fourth proportional to 364,720.34, 503,398.06 and 213,865.94 is: 295,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,720.34 : 503,398.06 = 213,865.94 : x
  2. Step 2: Convert to fraction form
    364,720.34/503,398.06 = 213,865.94/x
  3. Step 3: Cross multiply
    364,720.34x = 503,398.06 × 213,865.94
  4. Step 4: Simplify right side
    364,720.34x = 107,659,699,296.08
  5. Step 5: Solve for x
    x = 107,659,699,296.08/364,720.34
  6. Step 6: Final answer
    x = 295,184.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.