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Finding the Fourth Proportional to 363,903.40, 545,855.10 and 306,166.60

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Solution

The fourth proportional to 363,903.40, 545,855.10 and 306,166.60 is: 459,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,903.40 : 545,855.10 = 306,166.60 : x
  2. Step 2: Convert to fraction form
    363,903.40/545,855.10 = 306,166.60/x
  3. Step 3: Cross multiply
    363,903.40x = 545,855.10 × 306,166.60
  4. Step 4: Simplify right side
    363,903.40x = 167,122,600,059.66
  5. Step 5: Solve for x
    x = 167,122,600,059.66/363,903.40
  6. Step 6: Final answer
    x = 459,249.90

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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.