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Finding the Fourth Proportional to 444,478.14, 666,738.66 and 144,958.32

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Solution

The fourth proportional to 444,478.14, 666,738.66 and 144,958.32 is: 217,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,478.14 : 666,738.66 = 144,958.32 : x
  2. Step 2: Convert to fraction form
    444,478.14/666,738.66 = 144,958.32/x
  3. Step 3: Cross multiply
    444,478.14x = 666,738.66 × 144,958.32
  4. Step 4: Simplify right side
    444,478.14x = 96,649,316,032.65
  5. Step 5: Solve for x
    x = 96,649,316,032.65/444,478.14
  6. Step 6: Final answer
    x = 217,444.48

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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.