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Finding the Fourth Proportional to 705,297.89, 973,975.37 and 491,023.85

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Solution

The fourth proportional to 705,297.89, 973,975.37 and 491,023.85 is: 678,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,297.89 : 973,975.37 = 491,023.85 : x
  2. Step 2: Convert to fraction form
    705,297.89/973,975.37 = 491,023.85/x
  3. Step 3: Cross multiply
    705,297.89x = 973,975.37 × 491,023.85
  4. Step 4: Simplify right side
    705,297.89x = 478,245,135,982.57
  5. Step 5: Solve for x
    x = 478,245,135,982.57/705,297.89
  6. Step 6: Final answer
    x = 678,075.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.