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Finding the Fourth Proportional to 274,955.40, 412,433.10 and 97,480.35

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Solution

The fourth proportional to 274,955.40, 412,433.10 and 97,480.35 is: 146,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,955.40 : 412,433.10 = 97,480.35 : x
  2. Step 2: Convert to fraction form
    274,955.40/412,433.10 = 97,480.35/x
  3. Step 3: Cross multiply
    274,955.40x = 412,433.10 × 97,480.35
  4. Step 4: Simplify right side
    274,955.40x = 40,204,122,939.59
  5. Step 5: Solve for x
    x = 40,204,122,939.59/274,955.40
  6. Step 6: Final answer
    x = 146,220.53

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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.