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Finding the Fourth Proportional to 302,685.25, 452,906.88 and 189,463.45

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Solution

The fourth proportional to 302,685.25, 452,906.88 and 189,463.45 is: 283,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,685.25 : 452,906.88 = 189,463.45 : x
  2. Step 2: Convert to fraction form
    302,685.25/452,906.88 = 189,463.45/x
  3. Step 3: Cross multiply
    302,685.25x = 452,906.88 × 189,463.45
  4. Step 4: Simplify right side
    302,685.25x = 85,809,300,013.54
  5. Step 5: Solve for x
    x = 85,809,300,013.54/302,685.25
  6. Step 6: Final answer
    x = 283,493.50

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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.