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Finding the Fourth Proportional to 363,901.60, 545,852.40 and 164,447.20

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Solution

The fourth proportional to 363,901.60, 545,852.40 and 164,447.20 is: 246,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,901.60 : 545,852.40 = 164,447.20 : x
  2. Step 2: Convert to fraction form
    363,901.60/545,852.40 = 164,447.20/x
  3. Step 3: Cross multiply
    363,901.60x = 545,852.40 × 164,447.20
  4. Step 4: Simplify right side
    363,901.60x = 89,763,898,793.28
  5. Step 5: Solve for x
    x = 89,763,898,793.28/363,901.60
  6. Step 6: Final answer
    x = 246,670.80

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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.