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Finding the Fourth Proportional to 329,099.81, 493,593.26 and 104,410.16

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Solution

The fourth proportional to 329,099.81, 493,593.26 and 104,410.16 is: 156,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,099.81 : 493,593.26 = 104,410.16 : x
  2. Step 2: Convert to fraction form
    329,099.81/493,593.26 = 104,410.16/x
  3. Step 3: Cross multiply
    329,099.81x = 493,593.26 × 104,410.16
  4. Step 4: Simplify right side
    329,099.81x = 51,536,148,261.50
  5. Step 5: Solve for x
    x = 51,536,148,261.50/329,099.81
  6. Step 6: Final answer
    x = 156,597.32

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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.