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Finding the Fourth Proportional to 288,034.26, 397,486.08 and 160,710.09

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Solution

The fourth proportional to 288,034.26, 397,486.08 and 160,710.09 is: 221,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,034.26 : 397,486.08 = 160,710.09 : x
  2. Step 2: Convert to fraction form
    288,034.26/397,486.08 = 160,710.09/x
  3. Step 3: Cross multiply
    288,034.26x = 397,486.08 × 160,710.09
  4. Step 4: Simplify right side
    288,034.26x = 63,880,023,690.55
  5. Step 5: Solve for x
    x = 63,880,023,690.55/288,034.26
  6. Step 6: Final answer
    x = 221,779.26

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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.