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Finding the Fourth Proportional to 274,673.25, 412,012.44 and 97,210.35

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Solution

The fourth proportional to 274,673.25, 412,012.44 and 97,210.35 is: 145,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,673.25 : 412,012.44 = 97,210.35 : x
  2. Step 2: Convert to fraction form
    274,673.25/412,012.44 = 97,210.35/x
  3. Step 3: Cross multiply
    274,673.25x = 412,012.44 × 97,210.35
  4. Step 4: Simplify right side
    274,673.25x = 40,051,873,496.75
  5. Step 5: Solve for x
    x = 40,051,873,496.75/274,673.25
  6. Step 6: Final answer
    x = 145,816.43

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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.