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Finding the Fourth Proportional to 375,063.84, 517,588.64 and 205,308.64

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Solution

The fourth proportional to 375,063.84, 517,588.64 and 205,308.64 is: 283,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,063.84 : 517,588.64 = 205,308.64 : x
  2. Step 2: Convert to fraction form
    375,063.84/517,588.64 = 205,308.64/x
  3. Step 3: Cross multiply
    375,063.84x = 517,588.64 × 205,308.64
  4. Step 4: Simplify right side
    375,063.84x = 106,265,419,757.85
  5. Step 5: Solve for x
    x = 106,265,419,757.85/375,063.84
  6. Step 6: Final answer
    x = 283,326.22

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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.