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Finding the Fourth Proportional to 421,581.24, 632,372.94 and 172,263.24

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Solution

The fourth proportional to 421,581.24, 632,372.94 and 172,263.24 is: 258,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,581.24 : 632,372.94 = 172,263.24 : x
  2. Step 2: Convert to fraction form
    421,581.24/632,372.94 = 172,263.24/x
  3. Step 3: Cross multiply
    421,581.24x = 632,372.94 × 172,263.24
  4. Step 4: Simplify right side
    421,581.24x = 108,934,611,532.73
  5. Step 5: Solve for x
    x = 108,934,611,532.73/421,581.24
  6. Step 6: Final answer
    x = 258,395.30

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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.