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Finding the Fourth Proportional to 513,612.30, 770,418.45 and 134,532.30

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Solution

The fourth proportional to 513,612.30, 770,418.45 and 134,532.30 is: 201,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,612.30 : 770,418.45 = 134,532.30 : x
  2. Step 2: Convert to fraction form
    513,612.30/770,418.45 = 134,532.30/x
  3. Step 3: Cross multiply
    513,612.30x = 770,418.45 × 134,532.30
  4. Step 4: Simplify right side
    513,612.30x = 103,646,166,040.94
  5. Step 5: Solve for x
    x = 103,646,166,040.94/513,612.30
  6. Step 6: Final answer
    x = 201,798.45

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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.