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Finding the Fourth Proportional to 421,696.65, 631,845.12 and 296,775.21

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Solution

The fourth proportional to 421,696.65, 631,845.12 and 296,775.21 is: 444,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,696.65 : 631,845.12 = 296,775.21 : x
  2. Step 2: Convert to fraction form
    421,696.65/631,845.12 = 296,775.21/x
  3. Step 3: Cross multiply
    421,696.65x = 631,845.12 × 296,775.21
  4. Step 4: Simplify right side
    421,696.65x = 187,515,968,175.48
  5. Step 5: Solve for x
    x = 187,515,968,175.48/421,696.65
  6. Step 6: Final answer
    x = 444,670.28

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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.