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Finding the Fourth Proportional to 357,796.97, 493,762.90 and 196,655.77

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Solution

The fourth proportional to 357,796.97, 493,762.90 and 196,655.77 is: 271,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,796.97 : 493,762.90 = 196,655.77 : x
  2. Step 2: Convert to fraction form
    357,796.97/493,762.90 = 196,655.77/x
  3. Step 3: Cross multiply
    357,796.97x = 493,762.90 × 196,655.77
  4. Step 4: Simplify right side
    357,796.97x = 97,101,323,296.93
  5. Step 5: Solve for x
    x = 97,101,323,296.93/357,796.97
  6. Step 6: Final answer
    x = 271,386.66

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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.