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Finding the Fourth Proportional to 364,734.84, 503,418.06 and 213,880.44

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Solution

The fourth proportional to 364,734.84, 503,418.06 and 213,880.44 is: 295,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,734.84 : 503,418.06 = 213,880.44 : x
  2. Step 2: Convert to fraction form
    364,734.84/503,418.06 = 213,880.44/x
  3. Step 3: Cross multiply
    364,734.84x = 503,418.06 × 213,880.44
  4. Step 4: Simplify right side
    364,734.84x = 107,671,276,176.75
  5. Step 5: Solve for x
    x = 107,671,276,176.75/364,734.84
  6. Step 6: Final answer
    x = 295,204.25

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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.