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Finding the Fourth Proportional to 357,934.89, 493,953.53 and 196,791.06

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Solution

The fourth proportional to 357,934.89, 493,953.53 and 196,791.06 is: 271,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,934.89 : 493,953.53 = 196,791.06 : x
  2. Step 2: Convert to fraction form
    357,934.89/493,953.53 = 196,791.06/x
  3. Step 3: Cross multiply
    357,934.89x = 493,953.53 × 196,791.06
  4. Step 4: Simplify right side
    357,934.89x = 97,205,637,775.49
  5. Step 5: Solve for x
    x = 97,205,637,775.49/357,934.89
  6. Step 6: Final answer
    x = 271,573.52

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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.