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Finding the Fourth Proportional to 326,658.80, 490,031.96 and 116,298.56

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Solution

The fourth proportional to 326,658.80, 490,031.96 and 116,298.56 is: 174,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,658.80 : 490,031.96 = 116,298.56 : x
  2. Step 2: Convert to fraction form
    326,658.80/490,031.96 = 116,298.56/x
  3. Step 3: Cross multiply
    326,658.80x = 490,031.96 × 116,298.56
  4. Step 4: Simplify right side
    326,658.80x = 56,990,011,301.98
  5. Step 5: Solve for x
    x = 56,990,011,301.98/326,658.80
  6. Step 6: Final answer
    x = 174,463.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.