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Finding the Fourth Proportional to 274,929.59, 412,270.46 and 97,396.22

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Solution

The fourth proportional to 274,929.59, 412,270.46 and 97,396.22 is: 146,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,929.59 : 412,270.46 = 97,396.22 : x
  2. Step 2: Convert to fraction form
    274,929.59/412,270.46 = 97,396.22/x
  3. Step 3: Cross multiply
    274,929.59x = 412,270.46 × 97,396.22
  4. Step 4: Simplify right side
    274,929.59x = 40,153,585,330.59
  5. Step 5: Solve for x
    x = 40,153,585,330.59/274,929.59
  6. Step 6: Final answer
    x = 146,050.43

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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.