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Finding the Fourth Proportional to 2,258,640, 3,387,960 and 682,704

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Solution

The fourth proportional to 2,258,640, 3,387,960 and 682,704 is: 1,024,056

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,640 : 3,387,960 = 682,704 : x
  2. Step 2: Convert to fraction form
    2,258,640/3,387,960 = 682,704/x
  3. Step 3: Cross multiply
    2,258,640x = 3,387,960 × 682,704
  4. Step 4: Simplify right side
    2,258,640x = 2,312,973,843,840
  5. Step 5: Solve for x
    x = 2,312,973,843,840/2,258,640
  6. Step 6: Final answer
    x = 1,024,056

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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.