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Finding the Fourth Proportional to 407,361.16, 562,141.74 and 226,080.64

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Solution

The fourth proportional to 407,361.16, 562,141.74 and 226,080.64 is: 311,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,361.16 : 562,141.74 = 226,080.64 : x
  2. Step 2: Convert to fraction form
    407,361.16/562,141.74 = 226,080.64/x
  3. Step 3: Cross multiply
    407,361.16x = 562,141.74 × 226,080.64
  4. Step 4: Simplify right side
    407,361.16x = 127,089,364,349.91
  5. Step 5: Solve for x
    x = 127,089,364,349.91/407,361.16
  6. Step 6: Final answer
    x = 311,982.04

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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.