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Finding the Fourth Proportional to 513,698.80, 770,548.20 and 345,737.20

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Solution

The fourth proportional to 513,698.80, 770,548.20 and 345,737.20 is: 518,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,698.80 : 770,548.20 = 345,737.20 : x
  2. Step 2: Convert to fraction form
    513,698.80/770,548.20 = 345,737.20/x
  3. Step 3: Cross multiply
    513,698.80x = 770,548.20 × 345,737.20
  4. Step 4: Simplify right side
    513,698.80x = 266,407,177,133.04
  5. Step 5: Solve for x
    x = 266,407,177,133.04/513,698.80
  6. Step 6: Final answer
    x = 518,605.80

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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.