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Finding the Fourth Proportional to 357,732.34, 493,660.68 and 196,587.34

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Solution

The fourth proportional to 357,732.34, 493,660.68 and 196,587.34 is: 271,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,732.34 : 493,660.68 = 196,587.34 : x
  2. Step 2: Convert to fraction form
    357,732.34/493,660.68 = 196,587.34/x
  3. Step 3: Cross multiply
    357,732.34x = 493,660.68 × 196,587.34
  4. Step 4: Simplify right side
    357,732.34x = 97,047,439,943.79
  5. Step 5: Solve for x
    x = 97,047,439,943.79/357,732.34
  6. Step 6: Final answer
    x = 271,285.06

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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.