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Finding the Fourth Proportional to 329,024.67, 493,733.57 and 302,255.55

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Solution

The fourth proportional to 329,024.67, 493,733.57 and 302,255.55 is: 453,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,024.67 : 493,733.57 = 302,255.55 : x
  2. Step 2: Convert to fraction form
    329,024.67/493,733.57 = 302,255.55/x
  3. Step 3: Cross multiply
    329,024.67x = 493,733.57 × 302,255.55
  4. Step 4: Simplify right side
    329,024.67x = 149,233,710,242.54
  5. Step 5: Solve for x
    x = 149,233,710,242.54/329,024.67
  6. Step 6: Final answer
    x = 453,563.89

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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.