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Finding the Fourth Proportional to 363,904.60, 546,051.30 and 164,255.80

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Solution

The fourth proportional to 363,904.60, 546,051.30 and 164,255.80 is: 246,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,904.60 : 546,051.30 = 164,255.80 : x
  2. Step 2: Convert to fraction form
    363,904.60/546,051.30 = 164,255.80/x
  3. Step 3: Cross multiply
    363,904.60x = 546,051.30 × 164,255.80
  4. Step 4: Simplify right side
    363,904.60x = 89,692,093,122.54
  5. Step 5: Solve for x
    x = 89,692,093,122.54/363,904.60
  6. Step 6: Final answer
    x = 246,471.45

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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.