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Finding the Fourth Proportional to 364,738.58, 503,423.21 and 213,884.18

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Solution

The fourth proportional to 364,738.58, 503,423.21 and 213,884.18 is: 295,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,738.58 : 503,423.21 = 213,884.18 : x
  2. Step 2: Convert to fraction form
    364,738.58/503,423.21 = 213,884.18/x
  3. Step 3: Cross multiply
    364,738.58x = 503,423.21 × 213,884.18
  4. Step 4: Simplify right side
    364,738.58x = 107,674,260,463.82
  5. Step 5: Solve for x
    x = 107,674,260,463.82/364,738.58
  6. Step 6: Final answer
    x = 295,209.41

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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.