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Finding the Fourth Proportional to 513,376.80, 770,050.80 and 232,893.60

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Solution

The fourth proportional to 513,376.80, 770,050.80 and 232,893.60 is: 349,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,376.80 : 770,050.80 = 232,893.60 : x
  2. Step 2: Convert to fraction form
    513,376.80/770,050.80 = 232,893.60/x
  3. Step 3: Cross multiply
    513,376.80x = 770,050.80 × 232,893.60
  4. Step 4: Simplify right side
    513,376.80x = 179,339,902,994.88
  5. Step 5: Solve for x
    x = 179,339,902,994.88/513,376.80
  6. Step 6: Final answer
    x = 349,333.87

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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.