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Finding the Fourth Proportional to 1,842,912, 2,764,368 and 513,216

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Solution

The fourth proportional to 1,842,912, 2,764,368 and 513,216 is: 769,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,912 : 2,764,368 = 513,216 : x
  2. Step 2: Convert to fraction form
    1,842,912/2,764,368 = 513,216/x
  3. Step 3: Cross multiply
    1,842,912x = 2,764,368 × 513,216
  4. Step 4: Simplify right side
    1,842,912x = 1,418,717,887,488
  5. Step 5: Solve for x
    x = 1,418,717,887,488/1,842,912
  6. Step 6: Final answer
    x = 769,824

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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.