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Finding the Fourth Proportional to 1,723,736, 2,585,604 and 541,784

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Solution

The fourth proportional to 1,723,736, 2,585,604 and 541,784 is: 812,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,736 : 2,585,604 = 541,784 : x
  2. Step 2: Convert to fraction form
    1,723,736/2,585,604 = 541,784/x
  3. Step 3: Cross multiply
    1,723,736x = 2,585,604 × 541,784
  4. Step 4: Simplify right side
    1,723,736x = 1,400,838,877,536
  5. Step 5: Solve for x
    x = 1,400,838,877,536/1,723,736
  6. Step 6: Final answer
    x = 812,676

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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.