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Finding the Fourth Proportional to 329,021.94, 493,729.53 and 302,253.06

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Solution

The fourth proportional to 329,021.94, 493,729.53 and 302,253.06 is: 453,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,021.94 : 493,729.53 = 302,253.06 : x
  2. Step 2: Convert to fraction form
    329,021.94/493,729.53 = 302,253.06/x
  3. Step 3: Cross multiply
    329,021.94x = 493,729.53 × 302,253.06
  4. Step 4: Simplify right side
    329,021.94x = 149,231,261,254.86
  5. Step 5: Solve for x
    x = 149,231,261,254.86/329,021.94
  6. Step 6: Final answer
    x = 453,560.21

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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.