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Finding the Fourth Proportional to 311,726.40, 467,444.26 and 161,926.46

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Solution

The fourth proportional to 311,726.40, 467,444.26 and 161,926.46 is: 242,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,726.40 : 467,444.26 = 161,926.46 : x
  2. Step 2: Convert to fraction form
    311,726.40/467,444.26 = 161,926.46/x
  3. Step 3: Cross multiply
    311,726.40x = 467,444.26 × 161,926.46
  4. Step 4: Simplify right side
    311,726.40x = 75,691,594,269.12
  5. Step 5: Solve for x
    x = 75,691,594,269.12/311,726.40
  6. Step 6: Final answer
    x = 242,814.19

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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.