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Finding the Fourth Proportional to 357,536.40, 493,398.46 and 196,390.96

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Solution

The fourth proportional to 357,536.40, 493,398.46 and 196,390.96 is: 271,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,536.40 : 493,398.46 = 196,390.96 : x
  2. Step 2: Convert to fraction form
    357,536.40/493,398.46 = 196,390.96/x
  3. Step 3: Cross multiply
    357,536.40x = 493,398.46 × 196,390.96
  4. Step 4: Simplify right side
    357,536.40x = 96,898,997,221.92
  5. Step 5: Solve for x
    x = 96,898,997,221.92/357,536.40
  6. Step 6: Final answer
    x = 271,018.55

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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.