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Finding the Fourth Proportional to 375,134.97, 517,735.54 and 213,953.07

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Solution

The fourth proportional to 375,134.97, 517,735.54 and 213,953.07 is: 295,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,134.97 : 517,735.54 = 213,953.07 : x
  2. Step 2: Convert to fraction form
    375,134.97/517,735.54 = 213,953.07/x
  3. Step 3: Cross multiply
    375,134.97x = 517,735.54 × 213,953.07
  4. Step 4: Simplify right side
    375,134.97x = 110,771,104,572.67
  5. Step 5: Solve for x
    x = 110,771,104,572.67/375,134.97
  6. Step 6: Final answer
    x = 295,283.34

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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.