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Finding the Fourth Proportional to 349,172.82, 524,125.73 and 309,445.96

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Solution

The fourth proportional to 349,172.82, 524,125.73 and 309,445.96 is: 464,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,172.82 : 524,125.73 = 309,445.96 : x
  2. Step 2: Convert to fraction form
    349,172.82/524,125.73 = 309,445.96/x
  3. Step 3: Cross multiply
    349,172.82x = 524,125.73 × 309,445.96
  4. Step 4: Simplify right side
    349,172.82x = 162,188,589,680.55
  5. Step 5: Solve for x
    x = 162,188,589,680.55/349,172.82
  6. Step 6: Final answer
    x = 464,493.74

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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.