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Finding the Fourth Proportional to 357,538.52, 493,406.10 and 196,397.17

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Solution

The fourth proportional to 357,538.52, 493,406.10 and 196,397.17 is: 271,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,538.52 : 493,406.10 = 196,397.17 : x
  2. Step 2: Convert to fraction form
    357,538.52/493,406.10 = 196,397.17/x
  3. Step 3: Cross multiply
    357,538.52x = 493,406.10 × 196,397.17
  4. Step 4: Simplify right side
    357,538.52x = 96,903,558,251.72
  5. Step 5: Solve for x
    x = 96,903,558,251.72/357,538.52
  6. Step 6: Final answer
    x = 271,029.70

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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.