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Finding the Fourth Proportional to 276,410.16, 414,290.16 and 158,163.12

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Solution

The fourth proportional to 276,410.16, 414,290.16 and 158,163.12 is: 237,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,410.16 : 414,290.16 = 158,163.12 : x
  2. Step 2: Convert to fraction form
    276,410.16/414,290.16 = 158,163.12/x
  3. Step 3: Cross multiply
    276,410.16x = 414,290.16 × 158,163.12
  4. Step 4: Simplify right side
    276,410.16x = 65,525,424,290.90
  5. Step 5: Solve for x
    x = 65,525,424,290.90/276,410.16
  6. Step 6: Final answer
    x = 237,058.67

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1.5x scale

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.