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Finding the Fourth Proportional to 329,022.94, 493,731.03 and 302,254.06

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Solution

The fourth proportional to 329,022.94, 493,731.03 and 302,254.06 is: 453,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,022.94 : 493,731.03 = 302,254.06 : x
  2. Step 2: Convert to fraction form
    329,022.94/493,731.03 = 302,254.06/x
  3. Step 3: Cross multiply
    329,022.94x = 493,731.03 × 302,254.06
  4. Step 4: Simplify right side
    329,022.94x = 149,232,208,365.48
  5. Step 5: Solve for x
    x = 149,232,208,365.48/329,022.94
  6. Step 6: Final answer
    x = 453,561.71

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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.