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Finding the Fourth Proportional to 329,019.94, 493,726.53 and 302,251.06

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Solution

The fourth proportional to 329,019.94, 493,726.53 and 302,251.06 is: 453,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,019.94 : 493,726.53 = 302,251.06 : x
  2. Step 2: Convert to fraction form
    329,019.94/493,726.53 = 302,251.06/x
  3. Step 3: Cross multiply
    329,019.94x = 493,726.53 × 302,251.06
  4. Step 4: Simplify right side
    329,019.94x = 149,229,364,573.99
  5. Step 5: Solve for x
    x = 149,229,364,573.99/329,019.94
  6. Step 6: Final answer
    x = 453,557.21

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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.