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Finding the Fourth Proportional to 389,754.38, 584,647.83 and 123,509

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Solution

The fourth proportional to 389,754.38, 584,647.83 and 123,509 is: 185,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,754.38 : 584,647.83 = 123,509 : x
  2. Step 2: Convert to fraction form
    389,754.38/584,647.83 = 123,509/x
  3. Step 3: Cross multiply
    389,754.38x = 584,647.83 × 123,509
  4. Step 4: Simplify right side
    389,754.38x = 72,209,268,835.47
  5. Step 5: Solve for x
    x = 72,209,268,835.47/389,754.38
  6. Step 6: Final answer
    x = 185,268.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.