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Finding the Fourth Proportional to 274,678, 412,019.57 and 97,215.10

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Solution

The fourth proportional to 274,678, 412,019.57 and 97,215.10 is: 145,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,678 : 412,019.57 = 97,215.10 : x
  2. Step 2: Convert to fraction form
    274,678/412,019.57 = 97,215.10/x
  3. Step 3: Cross multiply
    274,678x = 412,019.57 × 97,215.10
  4. Step 4: Simplify right side
    274,678x = 40,054,523,699.51
  5. Step 5: Solve for x
    x = 40,054,523,699.51/274,678
  6. Step 6: Final answer
    x = 145,823.56

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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.