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Finding the Fourth Proportional to 329,025.44, 493,734.78 and 302,256.56

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Solution

The fourth proportional to 329,025.44, 493,734.78 and 302,256.56 is: 453,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,025.44 : 493,734.78 = 302,256.56 : x
  2. Step 2: Convert to fraction form
    329,025.44/493,734.78 = 302,256.56/x
  3. Step 3: Cross multiply
    329,025.44x = 493,734.78 × 302,256.56
  4. Step 4: Simplify right side
    329,025.44x = 149,234,573,686.48
  5. Step 5: Solve for x
    x = 149,234,573,686.48/329,025.44
  6. Step 6: Final answer
    x = 453,565.46

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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.