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Finding the Fourth Proportional to 513,712.80, 770,554.80 and 233,229.60

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Solution

The fourth proportional to 513,712.80, 770,554.80 and 233,229.60 is: 349,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,712.80 : 770,554.80 = 233,229.60 : x
  2. Step 2: Convert to fraction form
    513,712.80/770,554.80 = 233,229.60/x
  3. Step 3: Cross multiply
    513,712.80x = 770,554.80 × 233,229.60
  4. Step 4: Simplify right side
    513,712.80x = 179,716,187,782.08
  5. Step 5: Solve for x
    x = 179,716,187,782.08/513,712.80
  6. Step 6: Final answer
    x = 349,837.86

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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.