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Finding the Fourth Proportional to 274,427.76, 411,477.60 and 105,808.23

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Solution

The fourth proportional to 274,427.76, 411,477.60 and 105,808.23 is: 158,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,427.76 : 411,477.60 = 105,808.23 : x
  2. Step 2: Convert to fraction form
    274,427.76/411,477.60 = 105,808.23/x
  3. Step 3: Cross multiply
    274,427.76x = 411,477.60 × 105,808.23
  4. Step 4: Simplify right side
    274,427.76x = 43,537,716,540.65
  5. Step 5: Solve for x
    x = 43,537,716,540.65/274,427.76
  6. Step 6: Final answer
    x = 158,649.10

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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.