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Finding the Fourth Proportional to 375,504.38, 518,176.22 and 214,353.02

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Solution

The fourth proportional to 375,504.38, 518,176.22 and 214,353.02 is: 295,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,504.38 : 518,176.22 = 214,353.02 : x
  2. Step 2: Convert to fraction form
    375,504.38/518,176.22 = 214,353.02/x
  3. Step 3: Cross multiply
    375,504.38x = 518,176.22 × 214,353.02
  4. Step 4: Simplify right side
    375,504.38x = 111,072,637,649.18
  5. Step 5: Solve for x
    x = 111,072,637,649.18/375,504.38
  6. Step 6: Final answer
    x = 295,795.85

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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.