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Finding the Fourth Proportional to 768,477, 1,152,721.98 and 269,841

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Solution

The fourth proportional to 768,477, 1,152,721.98 and 269,841 is: 404,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,477 : 1,152,721.98 = 269,841 : x
  2. Step 2: Convert to fraction form
    768,477/1,152,721.98 = 269,841/x
  3. Step 3: Cross multiply
    768,477x = 1,152,721.98 × 269,841
  4. Step 4: Simplify right side
    768,477x = 311,051,651,805.18
  5. Step 5: Solve for x
    x = 311,051,651,805.18/768,477
  6. Step 6: Final answer
    x = 404,763.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.