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Finding the Fourth Proportional to 347,146.85, 478,869.74 and 201,936.30

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Solution

The fourth proportional to 347,146.85, 478,869.74 and 201,936.30 is: 278,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,146.85 : 478,869.74 = 201,936.30 : x
  2. Step 2: Convert to fraction form
    347,146.85/478,869.74 = 201,936.30/x
  3. Step 3: Cross multiply
    347,146.85x = 478,869.74 × 201,936.30
  4. Step 4: Simplify right side
    347,146.85x = 96,701,181,429.38
  5. Step 5: Solve for x
    x = 96,701,181,429.38/347,146.85
  6. Step 6: Final answer
    x = 278,559.87

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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.