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Finding the Fourth Proportional to 329,476.09, 493,649.95 and 179,821.39

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Solution

The fourth proportional to 329,476.09, 493,649.95 and 179,821.39 is: 269,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,476.09 : 493,649.95 = 179,821.39 : x
  2. Step 2: Convert to fraction form
    329,476.09/493,649.95 = 179,821.39/x
  3. Step 3: Cross multiply
    329,476.09x = 493,649.95 × 179,821.39
  4. Step 4: Simplify right side
    329,476.09x = 88,768,820,182.43
  5. Step 5: Solve for x
    x = 88,768,820,182.43/329,476.09
  6. Step 6: Final answer
    x = 269,424.16

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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.