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Finding the Fourth Proportional to 274,110, 411,225.48 and 116,473.20

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Solution

The fourth proportional to 274,110, 411,225.48 and 116,473.20 is: 174,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,110 : 411,225.48 = 116,473.20 : x
  2. Step 2: Convert to fraction form
    274,110/411,225.48 = 116,473.20/x
  3. Step 3: Cross multiply
    274,110x = 411,225.48 × 116,473.20
  4. Step 4: Simplify right side
    274,110x = 47,896,747,577.14
  5. Step 5: Solve for x
    x = 47,896,747,577.14/274,110
  6. Step 6: Final answer
    x = 174,735.50

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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.