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Finding the Fourth Proportional to 1,464,612, 2,021,195.28 and 828,708

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Solution

The fourth proportional to 1,464,612, 2,021,195.28 and 828,708 is: 1,143,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,612 : 2,021,195.28 = 828,708 : x
  2. Step 2: Convert to fraction form
    1,464,612/2,021,195.28 = 828,708/x
  3. Step 3: Cross multiply
    1,464,612x = 2,021,195.28 × 828,708
  4. Step 4: Simplify right side
    1,464,612x = 1,674,980,698,098.24
  5. Step 5: Solve for x
    x = 1,674,980,698,098.24/1,464,612
  6. Step 6: Final answer
    x = 1,143,634.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.