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Finding the Fourth Proportional to 407,361.29, 562,141.91 and 226,080.77

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Solution

The fourth proportional to 407,361.29, 562,141.91 and 226,080.77 is: 311,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,361.29 : 562,141.91 = 226,080.77 : x
  2. Step 2: Convert to fraction form
    407,361.29/562,141.91 = 226,080.77/x
  3. Step 3: Cross multiply
    407,361.29x = 562,141.91 × 226,080.77
  4. Step 4: Simplify right side
    407,361.29x = 127,089,473,616.56
  5. Step 5: Solve for x
    x = 127,089,473,616.56/407,361.29
  6. Step 6: Final answer
    x = 311,982.21

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1.5x scale

Why These Related Problems?

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