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Finding the Fourth Proportional to 276,577.36, 414,846.48 and 157,876.72

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Solution

The fourth proportional to 276,577.36, 414,846.48 and 157,876.72 is: 236,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,577.36 : 414,846.48 = 157,876.72 : x
  2. Step 2: Convert to fraction form
    276,577.36/414,846.48 = 157,876.72/x
  3. Step 3: Cross multiply
    276,577.36x = 414,846.48 × 157,876.72
  4. Step 4: Simplify right side
    276,577.36x = 65,494,601,565.95
  5. Step 5: Solve for x
    x = 65,494,601,565.95/276,577.36
  6. Step 6: Final answer
    x = 236,803.91

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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.