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Finding the Fourth Proportional to 311,700.18, 430,124.67 and 175,738.98

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Solution

The fourth proportional to 311,700.18, 430,124.67 and 175,738.98 is: 242,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,700.18 : 430,124.67 = 175,738.98 : x
  2. Step 2: Convert to fraction form
    311,700.18/430,124.67 = 175,738.98/x
  3. Step 3: Cross multiply
    311,700.18x = 430,124.67 × 175,738.98
  4. Step 4: Simplify right side
    311,700.18x = 75,589,670,778.64
  5. Step 5: Solve for x
    x = 75,589,670,778.64/311,700.18
  6. Step 6: Final answer
    x = 242,507.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.