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Finding the Fourth Proportional to 334,428.16, 501,694.47 and 109,737.49

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Solution

The fourth proportional to 334,428.16, 501,694.47 and 109,737.49 is: 164,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,428.16 : 501,694.47 = 109,737.49 : x
  2. Step 2: Convert to fraction form
    334,428.16/501,694.47 = 109,737.49/x
  3. Step 3: Cross multiply
    334,428.16x = 501,694.47 × 109,737.49
  4. Step 4: Simplify right side
    334,428.16x = 55,054,691,884.68
  5. Step 5: Solve for x
    x = 55,054,691,884.68/334,428.16
  6. Step 6: Final answer
    x = 164,623.37

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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.