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Finding the Fourth Proportional to 375,851.64, 518,573.46 and 214,674.60

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Solution

The fourth proportional to 375,851.64, 518,573.46 and 214,674.60 is: 296,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,851.64 : 518,573.46 = 214,674.60 : x
  2. Step 2: Convert to fraction form
    375,851.64/518,573.46 = 214,674.60/x
  3. Step 3: Cross multiply
    375,851.64x = 518,573.46 × 214,674.60
  4. Step 4: Simplify right side
    375,851.64x = 111,324,550,096.12
  5. Step 5: Solve for x
    x = 111,324,550,096.12/375,851.64
  6. Step 6: Final answer
    x = 296,192.80

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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.