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Finding the Fourth Proportional to 357,782.70, 493,749.18 and 196,641.84

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Solution

The fourth proportional to 357,782.70, 493,749.18 and 196,641.84 is: 271,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,782.70 : 493,749.18 = 196,641.84 : x
  2. Step 2: Convert to fraction form
    357,782.70/493,749.18 = 196,641.84/x
  3. Step 3: Cross multiply
    357,782.70x = 493,749.18 × 196,641.84
  4. Step 4: Simplify right side
    357,782.70x = 97,091,747,253.69
  5. Step 5: Solve for x
    x = 97,091,747,253.69/357,782.70
  6. Step 6: Final answer
    x = 271,370.72

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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.