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Finding the Fourth Proportional to 513,696.49, 770,549.94 and 229,401.52

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Solution

The fourth proportional to 513,696.49, 770,549.94 and 229,401.52 is: 344,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,696.49 : 770,549.94 = 229,401.52 : x
  2. Step 2: Convert to fraction form
    513,696.49/770,549.94 = 229,401.52/x
  3. Step 3: Cross multiply
    513,696.49x = 770,549.94 × 229,401.52
  4. Step 4: Simplify right side
    513,696.49x = 176,765,325,545.53
  5. Step 5: Solve for x
    x = 176,765,325,545.53/513,696.49
  6. Step 6: Final answer
    x = 344,104.60

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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.