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Finding the Fourth Proportional to 375,309.63, 517,964.27 and 214,188.93

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Solution

The fourth proportional to 375,309.63, 517,964.27 and 214,188.93 is: 295,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,309.63 : 517,964.27 = 214,188.93 : x
  2. Step 2: Convert to fraction form
    375,309.63/517,964.27 = 214,188.93/x
  3. Step 3: Cross multiply
    375,309.63x = 517,964.27 × 214,188.93
  4. Step 4: Simplify right side
    375,309.63x = 110,942,211,698.59
  5. Step 5: Solve for x
    x = 110,942,211,698.59/375,309.63
  6. Step 6: Final answer
    x = 295,601.83

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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.