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Finding the Fourth Proportional to 1,560,078, 2,340,117 and 378,126

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Solution

The fourth proportional to 1,560,078, 2,340,117 and 378,126 is: 567,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,078 : 2,340,117 = 378,126 : x
  2. Step 2: Convert to fraction form
    1,560,078/2,340,117 = 378,126/x
  3. Step 3: Cross multiply
    1,560,078x = 2,340,117 × 378,126
  4. Step 4: Simplify right side
    1,560,078x = 884,859,080,742
  5. Step 5: Solve for x
    x = 884,859,080,742/1,560,078
  6. Step 6: Final answer
    x = 567,189

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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.