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Finding the Fourth Proportional to 274,114, 411,231.48 and 116,477.20

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Solution

The fourth proportional to 274,114, 411,231.48 and 116,477.20 is: 174,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114 : 411,231.48 = 116,477.20 : x
  2. Step 2: Convert to fraction form
    274,114/411,231.48 = 116,477.20/x
  3. Step 3: Cross multiply
    274,114x = 411,231.48 × 116,477.20
  4. Step 4: Simplify right side
    274,114x = 47,899,091,342.26
  5. Step 5: Solve for x
    x = 47,899,091,342.26/274,114
  6. Step 6: Final answer
    x = 174,741.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.