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Finding the Fourth Proportional to 363,821.40, 545,732.10 and 332,328.60

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Solution

The fourth proportional to 363,821.40, 545,732.10 and 332,328.60 is: 498,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,821.40 : 545,732.10 = 332,328.60 : x
  2. Step 2: Convert to fraction form
    363,821.40/545,732.10 = 332,328.60/x
  3. Step 3: Cross multiply
    363,821.40x = 545,732.10 × 332,328.60
  4. Step 4: Simplify right side
    363,821.40x = 181,362,384,768.06
  5. Step 5: Solve for x
    x = 181,362,384,768.06/363,821.40
  6. Step 6: Final answer
    x = 498,492.90

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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.