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Finding the Fourth Proportional to 513,585.82, 770,227.87 and 193,506.63

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Solution

The fourth proportional to 513,585.82, 770,227.87 and 193,506.63 is: 290,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,585.82 : 770,227.87 = 193,506.63 : x
  2. Step 2: Convert to fraction form
    513,585.82/770,227.87 = 193,506.63/x
  3. Step 3: Cross multiply
    513,585.82x = 770,227.87 × 193,506.63
  4. Step 4: Simplify right side
    513,585.82x = 149,044,199,455.78
  5. Step 5: Solve for x
    x = 149,044,199,455.78/513,585.82
  6. Step 6: Final answer
    x = 290,203.10

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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.