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Finding the Fourth Proportional to 397,309.50, 596,338.77 and 144,834.02

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Solution

The fourth proportional to 397,309.50, 596,338.77 and 144,834.02 is: 217,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,309.50 : 596,338.77 = 144,834.02 : x
  2. Step 2: Convert to fraction form
    397,309.50/596,338.77 = 144,834.02/x
  3. Step 3: Cross multiply
    397,309.50x = 596,338.77 × 144,834.02
  4. Step 4: Simplify right side
    397,309.50x = 86,370,141,340.96
  5. Step 5: Solve for x
    x = 86,370,141,340.96/397,309.50
  6. Step 6: Final answer
    x = 217,387.56

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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.