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Finding the Fourth Proportional to 375,333.66, 517,969.11 and 214,203.72

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Solution

The fourth proportional to 375,333.66, 517,969.11 and 214,203.72 is: 295,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,333.66 : 517,969.11 = 214,203.72 : x
  2. Step 2: Convert to fraction form
    375,333.66/517,969.11 = 214,203.72/x
  3. Step 3: Cross multiply
    375,333.66x = 517,969.11 × 214,203.72
  4. Step 4: Simplify right side
    375,333.66x = 110,950,910,207.09
  5. Step 5: Solve for x
    x = 110,950,910,207.09/375,333.66
  6. Step 6: Final answer
    x = 295,606.08

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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.