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Finding the Fourth Proportional to 406,408.24, 609,605.52 and 110,920.24

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Solution

The fourth proportional to 406,408.24, 609,605.52 and 110,920.24 is: 166,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,408.24 : 609,605.52 = 110,920.24 : x
  2. Step 2: Convert to fraction form
    406,408.24/609,605.52 = 110,920.24/x
  3. Step 3: Cross multiply
    406,408.24x = 609,605.52 × 110,920.24
  4. Step 4: Simplify right side
    406,408.24x = 67,617,590,583.72
  5. Step 5: Solve for x
    x = 67,617,590,583.72/406,408.24
  6. Step 6: Final answer
    x = 166,378.49

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1.5x scale

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.