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Finding the Fourth Proportional to 329,069.70, 493,604.55 and 214,908.30

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Solution

The fourth proportional to 329,069.70, 493,604.55 and 214,908.30 is: 322,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,069.70 : 493,604.55 = 214,908.30 : x
  2. Step 2: Convert to fraction form
    329,069.70/493,604.55 = 214,908.30/x
  3. Step 3: Cross multiply
    329,069.70x = 493,604.55 × 214,908.30
  4. Step 4: Simplify right side
    329,069.70x = 106,079,714,712.77
  5. Step 5: Solve for x
    x = 106,079,714,712.77/329,069.70
  6. Step 6: Final answer
    x = 322,362.45

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1.5x scale

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.