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Finding the Fourth Proportional to 1,846,428, 2,769,642 and 516,732

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Solution

The fourth proportional to 1,846,428, 2,769,642 and 516,732 is: 775,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,428 : 2,769,642 = 516,732 : x
  2. Step 2: Convert to fraction form
    1,846,428/2,769,642 = 516,732/x
  3. Step 3: Cross multiply
    1,846,428x = 2,769,642 × 516,732
  4. Step 4: Simplify right side
    1,846,428x = 1,431,162,649,944
  5. Step 5: Solve for x
    x = 1,431,162,649,944/1,846,428
  6. Step 6: Final answer
    x = 775,098

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.