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Finding the Fourth Proportional to 488,264.26, 731,698.49 and 274,583.66

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Solution

The fourth proportional to 488,264.26, 731,698.49 and 274,583.66 is: 411,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,264.26 : 731,698.49 = 274,583.66 : x
  2. Step 2: Convert to fraction form
    488,264.26/731,698.49 = 274,583.66/x
  3. Step 3: Cross multiply
    488,264.26x = 731,698.49 × 274,583.66
  4. Step 4: Simplify right side
    488,264.26x = 200,912,447,571.43
  5. Step 5: Solve for x
    x = 200,912,447,571.43/488,264.26
  6. Step 6: Final answer
    x = 411,483.01

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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.