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Finding the Fourth Proportional to 402,233.12, 603,350.24 and 171,362.60

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Solution

The fourth proportional to 402,233.12, 603,350.24 and 171,362.60 is: 257,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,233.12 : 603,350.24 = 171,362.60 : x
  2. Step 2: Convert to fraction form
    402,233.12/603,350.24 = 171,362.60/x
  3. Step 3: Cross multiply
    402,233.12x = 603,350.24 × 171,362.60
  4. Step 4: Simplify right side
    402,233.12x = 103,391,665,837.02
  5. Step 5: Solve for x
    x = 103,391,665,837.02/402,233.12
  6. Step 6: Final answer
    x = 257,044.14

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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.