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Finding the Fourth Proportional to 311,850.72, 467,783.37 and 101,505.06

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Solution

The fourth proportional to 311,850.72, 467,783.37 and 101,505.06 is: 152,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,850.72 : 467,783.37 = 101,505.06 : x
  2. Step 2: Convert to fraction form
    311,850.72/467,783.37 = 101,505.06/x
  3. Step 3: Cross multiply
    311,850.72x = 467,783.37 × 101,505.06
  4. Step 4: Simplify right side
    311,850.72x = 47,482,379,038.85
  5. Step 5: Solve for x
    x = 47,482,379,038.85/311,850.72
  6. Step 6: Final answer
    x = 152,259.96

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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.