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Finding the Fourth Proportional to 375,306.63, 517,960.13 and 214,185.93

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Solution

The fourth proportional to 375,306.63, 517,960.13 and 214,185.93 is: 295,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,306.63 : 517,960.13 = 214,185.93 : x
  2. Step 2: Convert to fraction form
    375,306.63/517,960.13 = 214,185.93/x
  3. Step 3: Cross multiply
    375,306.63x = 517,960.13 × 214,185.93
  4. Step 4: Simplify right side
    375,306.63x = 110,939,771,076.04
  5. Step 5: Solve for x
    x = 110,939,771,076.04/375,306.63
  6. Step 6: Final answer
    x = 295,597.69

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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.