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Finding the Fourth Proportional to 375,307.13, 517,960.82 and 214,186.43

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Solution

The fourth proportional to 375,307.13, 517,960.82 and 214,186.43 is: 295,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,307.13 : 517,960.82 = 214,186.43 : x
  2. Step 2: Convert to fraction form
    375,307.13/517,960.82 = 214,186.43/x
  3. Step 3: Cross multiply
    375,307.13x = 517,960.82 × 214,186.43
  4. Step 4: Simplify right side
    375,307.13x = 110,940,177,844.74
  5. Step 5: Solve for x
    x = 110,940,177,844.74/375,307.13
  6. Step 6: Final answer
    x = 295,598.38

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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.