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Finding the Fourth Proportional to 417,849, 627,022.56 and 151,630.29

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Solution

The fourth proportional to 417,849, 627,022.56 and 151,630.29 is: 227,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,849 : 627,022.56 = 151,630.29 : x
  2. Step 2: Convert to fraction form
    417,849/627,022.56 = 151,630.29/x
  3. Step 3: Cross multiply
    417,849x = 627,022.56 × 151,630.29
  4. Step 4: Simplify right side
    417,849x = 95,075,612,609.34
  5. Step 5: Solve for x
    x = 95,075,612,609.34/417,849
  6. Step 6: Final answer
    x = 227,535.81

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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.