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Finding the Fourth Proportional to 348,930.80, 523,396.20 and 307,458.80

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Solution

The fourth proportional to 348,930.80, 523,396.20 and 307,458.80 is: 461,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,930.80 : 523,396.20 = 307,458.80 : x
  2. Step 2: Convert to fraction form
    348,930.80/523,396.20 = 307,458.80/x
  3. Step 3: Cross multiply
    348,930.80x = 523,396.20 × 307,458.80
  4. Step 4: Simplify right side
    348,930.80x = 160,922,767,576.56
  5. Step 5: Solve for x
    x = 160,922,767,576.56/348,930.80
  6. Step 6: Final answer
    x = 461,188.20

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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.