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Finding the Fourth Proportional to 533,204.91, 735,823.40 and 306,850.59

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Solution

The fourth proportional to 533,204.91, 735,823.40 and 306,850.59 is: 423,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,204.91 : 735,823.40 = 306,850.59 : x
  2. Step 2: Convert to fraction form
    533,204.91/735,823.40 = 306,850.59/x
  3. Step 3: Cross multiply
    533,204.91x = 735,823.40 × 306,850.59
  4. Step 4: Simplify right side
    533,204.91x = 225,787,842,891.55
  5. Step 5: Solve for x
    x = 225,787,842,891.55/533,204.91
  6. Step 6: Final answer
    x = 423,454.17

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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.