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Finding the Fourth Proportional to 432,794.51, 649,240.97 and 148,506.38

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Solution

The fourth proportional to 432,794.51, 649,240.97 and 148,506.38 is: 222,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,794.51 : 649,240.97 = 148,506.38 : x
  2. Step 2: Convert to fraction form
    432,794.51/649,240.97 = 148,506.38/x
  3. Step 3: Cross multiply
    432,794.51x = 649,240.97 × 148,506.38
  4. Step 4: Simplify right side
    432,794.51x = 96,416,422,213.65
  5. Step 5: Solve for x
    x = 96,416,422,213.65/432,794.51
  6. Step 6: Final answer
    x = 222,776.45

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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.