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Finding the Fourth Proportional to 346,257.68, 519,453.84 and 133,010

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Solution

The fourth proportional to 346,257.68, 519,453.84 and 133,010 is: 199,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,257.68 : 519,453.84 = 133,010 : x
  2. Step 2: Convert to fraction form
    346,257.68/519,453.84 = 133,010/x
  3. Step 3: Cross multiply
    346,257.68x = 519,453.84 × 133,010
  4. Step 4: Simplify right side
    346,257.68x = 69,092,555,258.40
  5. Step 5: Solve for x
    x = 69,092,555,258.40/346,257.68
  6. Step 6: Final answer
    x = 199,540.86

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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.