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Finding the Fourth Proportional to 363,870.60, 546,000.30 and 164,221.80

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Solution

The fourth proportional to 363,870.60, 546,000.30 and 164,221.80 is: 246,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,870.60 : 546,000.30 = 164,221.80 : x
  2. Step 2: Convert to fraction form
    363,870.60/546,000.30 = 164,221.80/x
  3. Step 3: Cross multiply
    363,870.60x = 546,000.30 × 164,221.80
  4. Step 4: Simplify right side
    363,870.60x = 89,665,152,066.54
  5. Step 5: Solve for x
    x = 89,665,152,066.54/363,870.60
  6. Step 6: Final answer
    x = 246,420.44

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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.