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Finding the Fourth Proportional to 302,494.44, 452,601.60 and 180,463.70

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Solution

The fourth proportional to 302,494.44, 452,601.60 and 180,463.70 is: 270,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,494.44 : 452,601.60 = 180,463.70 : x
  2. Step 2: Convert to fraction form
    302,494.44/452,601.60 = 180,463.70/x
  3. Step 3: Cross multiply
    302,494.44x = 452,601.60 × 180,463.70
  4. Step 4: Simplify right side
    302,494.44x = 81,678,159,361.92
  5. Step 5: Solve for x
    x = 81,678,159,361.92/302,494.44
  6. Step 6: Final answer
    x = 270,015.41

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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.