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Finding the Fourth Proportional to 296,504.64, 444,840 and 119,136.16

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Solution

The fourth proportional to 296,504.64, 444,840 and 119,136.16 is: 178,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,504.64 : 444,840 = 119,136.16 : x
  2. Step 2: Convert to fraction form
    296,504.64/444,840 = 119,136.16/x
  3. Step 3: Cross multiply
    296,504.64x = 444,840 × 119,136.16
  4. Step 4: Simplify right side
    296,504.64x = 52,996,529,414.40
  5. Step 5: Solve for x
    x = 52,996,529,414.40/296,504.64
  6. Step 6: Final answer
    x = 178,737.61

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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.