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Finding the Fourth Proportional to 274,635.23, 412,018.65 and 114,622.16

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Solution

The fourth proportional to 274,635.23, 412,018.65 and 114,622.16 is: 171,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,635.23 : 412,018.65 = 114,622.16 : x
  2. Step 2: Convert to fraction form
    274,635.23/412,018.65 = 114,622.16/x
  3. Step 3: Cross multiply
    274,635.23x = 412,018.65 × 114,622.16
  4. Step 4: Simplify right side
    274,635.23x = 47,226,465,563.19
  5. Step 5: Solve for x
    x = 47,226,465,563.19/274,635.23
  6. Step 6: Final answer
    x = 171,960.70

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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.