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Finding the Fourth Proportional to 1,560,018, 2,340,027 and 378,066

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Solution

The fourth proportional to 1,560,018, 2,340,027 and 378,066 is: 567,099

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,018 : 2,340,027 = 378,066 : x
  2. Step 2: Convert to fraction form
    1,560,018/2,340,027 = 378,066/x
  3. Step 3: Cross multiply
    1,560,018x = 2,340,027 × 378,066
  4. Step 4: Simplify right side
    1,560,018x = 884,684,647,782
  5. Step 5: Solve for x
    x = 884,684,647,782/1,560,018
  6. Step 6: Final answer
    x = 567,099

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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.