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Finding the Fourth Proportional to 329,113.80, 493,670.70 and 196,144.20

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Solution

The fourth proportional to 329,113.80, 493,670.70 and 196,144.20 is: 294,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,113.80 : 493,670.70 = 196,144.20 : x
  2. Step 2: Convert to fraction form
    329,113.80/493,670.70 = 196,144.20/x
  3. Step 3: Cross multiply
    329,113.80x = 493,670.70 × 196,144.20
  4. Step 4: Simplify right side
    329,113.80x = 96,830,644,514.94
  5. Step 5: Solve for x
    x = 96,830,644,514.94/329,113.80
  6. Step 6: Final answer
    x = 294,216.30

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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.