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Finding the Fourth Proportional to 289,352.26, 399,301.77 and 160,290.33

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Solution

The fourth proportional to 289,352.26, 399,301.77 and 160,290.33 is: 221,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.26 : 399,301.77 = 160,290.33 : x
  2. Step 2: Convert to fraction form
    289,352.26/399,301.77 = 160,290.33/x
  3. Step 3: Cross multiply
    289,352.26x = 399,301.77 × 160,290.33
  4. Step 4: Simplify right side
    289,352.26x = 64,004,212,482.88
  5. Step 5: Solve for x
    x = 64,004,212,482.88/289,352.26
  6. Step 6: Final answer
    x = 221,198.25

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