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Finding the Fourth Proportional to 456,448.78, 684,735.48 and 190,147.02

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Solution

The fourth proportional to 456,448.78, 684,735.48 and 190,147.02 is: 285,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448.78 : 684,735.48 = 190,147.02 : x
  2. Step 2: Convert to fraction form
    456,448.78/684,735.48 = 190,147.02/x
  3. Step 3: Cross multiply
    456,448.78x = 684,735.48 × 190,147.02
  4. Step 4: Simplify right side
    456,448.78x = 130,200,411,010.27
  5. Step 5: Solve for x
    x = 130,200,411,010.27/456,448.78
  6. Step 6: Final answer
    x = 285,246.49

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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.