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Finding the Fourth Proportional to 408,021.60, 612,032.40 and 171,631.20

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Solution

The fourth proportional to 408,021.60, 612,032.40 and 171,631.20 is: 257,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,021.60 : 612,032.40 = 171,631.20 : x
  2. Step 2: Convert to fraction form
    408,021.60/612,032.40 = 171,631.20/x
  3. Step 3: Cross multiply
    408,021.60x = 612,032.40 × 171,631.20
  4. Step 4: Simplify right side
    408,021.60x = 105,043,855,250.88
  5. Step 5: Solve for x
    x = 105,043,855,250.88/408,021.60
  6. Step 6: Final answer
    x = 257,446.80

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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.