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Finding the Fourth Proportional to 329,269, 493,936.56 and 89,386.96

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Solution

The fourth proportional to 329,269, 493,936.56 and 89,386.96 is: 134,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,269 : 493,936.56 = 89,386.96 : x
  2. Step 2: Convert to fraction form
    329,269/493,936.56 = 89,386.96/x
  3. Step 3: Cross multiply
    329,269x = 493,936.56 × 89,386.96
  4. Step 4: Simplify right side
    329,269x = 44,151,487,531.26
  5. Step 5: Solve for x
    x = 44,151,487,531.26/329,269
  6. Step 6: Final answer
    x = 134,089.41

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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.