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Finding the Fourth Proportional to 567,021.40, 850,647.30 and 193,082.20

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Solution

The fourth proportional to 567,021.40, 850,647.30 and 193,082.20 is: 289,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,021.40 : 850,647.30 = 193,082.20 : x
  2. Step 2: Convert to fraction form
    567,021.40/850,647.30 = 193,082.20/x
  3. Step 3: Cross multiply
    567,021.40x = 850,647.30 × 193,082.20
  4. Step 4: Simplify right side
    567,021.40x = 164,244,852,108.06
  5. Step 5: Solve for x
    x = 164,244,852,108.06/567,021.40
  6. Step 6: Final answer
    x = 289,662.53

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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.