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Finding the Fourth Proportional to 513,539.80, 770,295.30 and 233,056.60

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Solution

The fourth proportional to 513,539.80, 770,295.30 and 233,056.60 is: 349,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,539.80 : 770,295.30 = 233,056.60 : x
  2. Step 2: Convert to fraction form
    513,539.80/770,295.30 = 233,056.60/x
  3. Step 3: Cross multiply
    513,539.80x = 770,295.30 × 233,056.60
  4. Step 4: Simplify right side
    513,539.80x = 179,522,403,613.98
  5. Step 5: Solve for x
    x = 179,522,403,613.98/513,539.80
  6. Step 6: Final answer
    x = 349,578.36

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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.