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Finding the Fourth Proportional to 353,096.94, 487,271.74 and 200,163.98

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Solution

The fourth proportional to 353,096.94, 487,271.74 and 200,163.98 is: 276,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,096.94 : 487,271.74 = 200,163.98 : x
  2. Step 2: Convert to fraction form
    353,096.94/487,271.74 = 200,163.98/x
  3. Step 3: Cross multiply
    353,096.94x = 487,271.74 × 200,163.98
  4. Step 4: Simplify right side
    353,096.94x = 97,534,250,819.93
  5. Step 5: Solve for x
    x = 97,534,250,819.93/353,096.94
  6. Step 6: Final answer
    x = 276,225.14

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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.