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Finding the Fourth Proportional to 490,938, 736,415.96 and 153,971.12

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Solution

The fourth proportional to 490,938, 736,415.96 and 153,971.12 is: 230,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,938 : 736,415.96 = 153,971.12 : x
  2. Step 2: Convert to fraction form
    490,938/736,415.96 = 153,971.12/x
  3. Step 3: Cross multiply
    490,938x = 736,415.96 × 153,971.12
  4. Step 4: Simplify right side
    490,938x = 113,386,790,147.08
  5. Step 5: Solve for x
    x = 113,386,790,147.08/490,938
  6. Step 6: Final answer
    x = 230,959.49

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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.