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Finding the Fourth Proportional to 304,389.81, 419,962.73 and 183,568.05

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Solution

The fourth proportional to 304,389.81, 419,962.73 and 183,568.05 is: 253,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,389.81 : 419,962.73 = 183,568.05 : x
  2. Step 2: Convert to fraction form
    304,389.81/419,962.73 = 183,568.05/x
  3. Step 3: Cross multiply
    304,389.81x = 419,962.73 × 183,568.05
  4. Step 4: Simplify right side
    304,389.81x = 77,091,738,500.94
  5. Step 5: Solve for x
    x = 77,091,738,500.94/304,389.81
  6. Step 6: Final answer
    x = 253,266.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.