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Finding the Fourth Proportional to 513,200.40, 770,578.20 and 395,005.20

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Solution

The fourth proportional to 513,200.40, 770,578.20 and 395,005.20 is: 593,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,200.40 : 770,578.20 = 395,005.20 : x
  2. Step 2: Convert to fraction form
    513,200.40/770,578.20 = 395,005.20/x
  3. Step 3: Cross multiply
    513,200.40x = 770,578.20 × 395,005.20
  4. Step 4: Simplify right side
    513,200.40x = 304,382,396,006.64
  5. Step 5: Solve for x
    x = 304,382,396,006.64/513,200.40
  6. Step 6: Final answer
    x = 593,106.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.