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Finding the Fourth Proportional to 509,735, 703,435.11 and 283,380.50

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Solution

The fourth proportional to 509,735, 703,435.11 and 283,380.50 is: 391,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,735 : 703,435.11 = 283,380.50 : x
  2. Step 2: Convert to fraction form
    509,735/703,435.11 = 283,380.50/x
  3. Step 3: Cross multiply
    509,735x = 703,435.11 × 283,380.50
  4. Step 4: Simplify right side
    509,735x = 199,339,793,189.36
  5. Step 5: Solve for x
    x = 199,339,793,189.36/509,735
  6. Step 6: Final answer
    x = 391,065.54

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