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Finding the Fourth Proportional to 303,747.84, 415,529.19 and 302,468.45

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Solution

The fourth proportional to 303,747.84, 415,529.19 and 302,468.45 is: 413,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,747.84 : 415,529.19 = 302,468.45 : x
  2. Step 2: Convert to fraction form
    303,747.84/415,529.19 = 302,468.45/x
  3. Step 3: Cross multiply
    303,747.84x = 415,529.19 × 302,468.45
  4. Step 4: Simplify right side
    303,747.84x = 125,684,467,951.41
  5. Step 5: Solve for x
    x = 125,684,467,951.41/303,747.84
  6. Step 6: Final answer
    x = 413,778.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.