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Finding the Fourth Proportional to 1,849,446, 2,774,169 and 519,750

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Solution

The fourth proportional to 1,849,446, 2,774,169 and 519,750 is: 779,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,446 : 2,774,169 = 519,750 : x
  2. Step 2: Convert to fraction form
    1,849,446/2,774,169 = 519,750/x
  3. Step 3: Cross multiply
    1,849,446x = 2,774,169 × 519,750
  4. Step 4: Simplify right side
    1,849,446x = 1,441,874,337,750
  5. Step 5: Solve for x
    x = 1,441,874,337,750/1,849,446
  6. Step 6: Final answer
    x = 779,625

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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.