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Finding the Fourth Proportional to 638,505, 957,907.85 and 189,229.59

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Solution

The fourth proportional to 638,505, 957,907.85 and 189,229.59 is: 283,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,505 : 957,907.85 = 189,229.59 : x
  2. Step 2: Convert to fraction form
    638,505/957,907.85 = 189,229.59/x
  3. Step 3: Cross multiply
    638,505x = 957,907.85 × 189,229.59
  4. Step 4: Simplify right side
    638,505x = 181,264,508,767.13
  5. Step 5: Solve for x
    x = 181,264,508,767.13/638,505
  6. Step 6: Final answer
    x = 283,888.94

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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.