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Finding the Fourth Proportional to 385,104.20, 576,101.10 and 333,091.40

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Solution

The fourth proportional to 385,104.20, 576,101.10 and 333,091.40 is: 498,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,104.20 : 576,101.10 = 333,091.40 : x
  2. Step 2: Convert to fraction form
    385,104.20/576,101.10 = 333,091.40/x
  3. Step 3: Cross multiply
    385,104.20x = 576,101.10 × 333,091.40
  4. Step 4: Simplify right side
    385,104.20x = 191,894,321,940.54
  5. Step 5: Solve for x
    x = 191,894,321,940.54/385,104.20
  6. Step 6: Final answer
    x = 498,291.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.