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Finding the Fourth Proportional to 1,866,810, 2,800,215 and 537,114

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Solution

The fourth proportional to 1,866,810, 2,800,215 and 537,114 is: 805,671

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,810 : 2,800,215 = 537,114 : x
  2. Step 2: Convert to fraction form
    1,866,810/2,800,215 = 537,114/x
  3. Step 3: Cross multiply
    1,866,810x = 2,800,215 × 537,114
  4. Step 4: Simplify right side
    1,866,810x = 1,504,034,679,510
  5. Step 5: Solve for x
    x = 1,504,034,679,510/1,866,810
  6. Step 6: Final answer
    x = 805,671

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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.