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Finding the Fourth Proportional to 255,323.16, 383,324.00 and 218,122.29

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Solution

The fourth proportional to 255,323.16, 383,324.00 and 218,122.29 is: 327,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,323.16 : 383,324.00 = 218,122.29 : x
  2. Step 2: Convert to fraction form
    255,323.16/383,324.00 = 218,122.29/x
  3. Step 3: Cross multiply
    255,323.16x = 383,324.00 × 218,122.29
  4. Step 4: Simplify right side
    255,323.16x = 83,611,507,601.35
  5. Step 5: Solve for x
    x = 83,611,507,601.35/255,323.16
  6. Step 6: Final answer
    x = 327,473.26

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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.