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Finding the Fourth Proportional to 421,592.24, 632,389.44 and 172,274.24

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Solution

The fourth proportional to 421,592.24, 632,389.44 and 172,274.24 is: 258,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,592.24 : 632,389.44 = 172,274.24 : x
  2. Step 2: Convert to fraction form
    421,592.24/632,389.44 = 172,274.24/x
  3. Step 3: Cross multiply
    421,592.24x = 632,389.44 × 172,274.24
  4. Step 4: Simplify right side
    421,592.24x = 108,944,410,160.03
  5. Step 5: Solve for x
    x = 108,944,410,160.03/421,592.24
  6. Step 6: Final answer
    x = 258,411.80

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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.