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Finding the Fourth Proportional to 375,194, 517,817.16 and 214,012.16

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Solution

The fourth proportional to 375,194, 517,817.16 and 214,012.16 is: 295,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,194 : 517,817.16 = 214,012.16 : x
  2. Step 2: Convert to fraction form
    375,194/517,817.16 = 214,012.16/x
  3. Step 3: Cross multiply
    375,194x = 517,817.16 × 214,012.16
  4. Step 4: Simplify right side
    375,194x = 110,819,168,896.67
  5. Step 5: Solve for x
    x = 110,819,168,896.67/375,194
  6. Step 6: Final answer
    x = 295,364.98

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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.