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Finding the Fourth Proportional to 947,592, 1,421,634.24 and 282,744

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Solution

The fourth proportional to 947,592, 1,421,634.24 and 282,744 is: 424,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,592 : 1,421,634.24 = 282,744 : x
  2. Step 2: Convert to fraction form
    947,592/1,421,634.24 = 282,744/x
  3. Step 3: Cross multiply
    947,592x = 1,421,634.24 × 282,744
  4. Step 4: Simplify right side
    947,592x = 401,958,551,554.56
  5. Step 5: Solve for x
    x = 401,958,551,554.56/947,592
  6. Step 6: Final answer
    x = 424,189.47

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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.