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Finding the Fourth Proportional to 285,613.20, 428,009.40 and 160,690.32

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Solution

The fourth proportional to 285,613.20, 428,009.40 and 160,690.32 is: 240,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,613.20 : 428,009.40 = 160,690.32 : x
  2. Step 2: Convert to fraction form
    285,613.20/428,009.40 = 160,690.32/x
  3. Step 3: Cross multiply
    285,613.20x = 428,009.40 × 160,690.32
  4. Step 4: Simplify right side
    285,613.20x = 68,776,967,449.01
  5. Step 5: Solve for x
    x = 68,776,967,449.01/285,613.20
  6. Step 6: Final answer
    x = 240,804.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.