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Finding the Fourth Proportional to 329,065.77, 493,536.20 and 160,416.48

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Solution

The fourth proportional to 329,065.77, 493,536.20 and 160,416.48 is: 240,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,065.77 : 493,536.20 = 160,416.48 : x
  2. Step 2: Convert to fraction form
    329,065.77/493,536.20 = 160,416.48/x
  3. Step 3: Cross multiply
    329,065.77x = 493,536.20 × 160,416.48
  4. Step 4: Simplify right side
    329,065.77x = 79,171,339,956.58
  5. Step 5: Solve for x
    x = 79,171,339,956.58/329,065.77
  6. Step 6: Final answer
    x = 240,594.27

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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.