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Finding the Fourth Proportional to 1,866,838, 2,800,257 and 537,142

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Solution

The fourth proportional to 1,866,838, 2,800,257 and 537,142 is: 805,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,838 : 2,800,257 = 537,142 : x
  2. Step 2: Convert to fraction form
    1,866,838/2,800,257 = 537,142/x
  3. Step 3: Cross multiply
    1,866,838x = 2,800,257 × 537,142
  4. Step 4: Simplify right side
    1,866,838x = 1,504,135,645,494
  5. Step 5: Solve for x
    x = 1,504,135,645,494/1,866,838
  6. Step 6: Final answer
    x = 805,713

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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.