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Finding the Fourth Proportional to 363,743.60, 545,615.40 and 164,289.20

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Solution

The fourth proportional to 363,743.60, 545,615.40 and 164,289.20 is: 246,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,743.60 : 545,615.40 = 164,289.20 : x
  2. Step 2: Convert to fraction form
    363,743.60/545,615.40 = 164,289.20/x
  3. Step 3: Cross multiply
    363,743.60x = 545,615.40 × 164,289.20
  4. Step 4: Simplify right side
    363,743.60x = 89,638,717,573.68
  5. Step 5: Solve for x
    x = 89,638,717,573.68/363,743.60
  6. Step 6: Final answer
    x = 246,433.80

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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.