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Finding the Fourth Proportional to 389,635.38, 584,541.63 and 123,412.50

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Solution

The fourth proportional to 389,635.38, 584,541.63 and 123,412.50 is: 185,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,635.38 : 584,541.63 = 123,412.50 : x
  2. Step 2: Convert to fraction form
    389,635.38/584,541.63 = 123,412.50/x
  3. Step 3: Cross multiply
    389,635.38x = 584,541.63 × 123,412.50
  4. Step 4: Simplify right side
    389,635.38x = 72,139,743,912.38
  5. Step 5: Solve for x
    x = 72,139,743,912.38/389,635.38
  6. Step 6: Final answer
    x = 185,146.80

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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.