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Finding the Fourth Proportional to 1,469,964, 2,204,946 and 472,692

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Solution

The fourth proportional to 1,469,964, 2,204,946 and 472,692 is: 709,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,964 : 2,204,946 = 472,692 : x
  2. Step 2: Convert to fraction form
    1,469,964/2,204,946 = 472,692/x
  3. Step 3: Cross multiply
    1,469,964x = 2,204,946 × 472,692
  4. Step 4: Simplify right side
    1,469,964x = 1,042,260,334,632
  5. Step 5: Solve for x
    x = 1,042,260,334,632/1,469,964
  6. Step 6: Final answer
    x = 709,038

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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.