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Finding the Fourth Proportional to 274,975.40, 411,971.02 and 235,609.40

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Solution

The fourth proportional to 274,975.40, 411,971.02 and 235,609.40 is: 352,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,975.40 : 411,971.02 = 235,609.40 : x
  2. Step 2: Convert to fraction form
    274,975.40/411,971.02 = 235,609.40/x
  3. Step 3: Cross multiply
    274,975.40x = 411,971.02 × 235,609.40
  4. Step 4: Simplify right side
    274,975.40x = 97,064,244,839.59
  5. Step 5: Solve for x
    x = 97,064,244,839.59/274,975.40
  6. Step 6: Final answer
    x = 352,992.47

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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.