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Finding the Fourth Proportional to 513,599.40, 770,248.44 and 193,520.34

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Solution

The fourth proportional to 513,599.40, 770,248.44 and 193,520.34 is: 290,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,599.40 : 770,248.44 = 193,520.34 : x
  2. Step 2: Convert to fraction form
    513,599.40/770,248.44 = 193,520.34/x
  3. Step 3: Cross multiply
    513,599.40x = 770,248.44 × 193,520.34
  4. Step 4: Simplify right side
    513,599.40x = 149,058,739,993.27
  5. Step 5: Solve for x
    x = 149,058,739,993.27/513,599.40
  6. Step 6: Final answer
    x = 290,223.74

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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.