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Finding the Fourth Proportional to 288,650.10, 433,493.55 and 209,853.30

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Solution

The fourth proportional to 288,650.10, 433,493.55 and 209,853.30 is: 315,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,650.10 : 433,493.55 = 209,853.30 : x
  2. Step 2: Convert to fraction form
    288,650.10/433,493.55 = 209,853.30/x
  3. Step 3: Cross multiply
    288,650.10x = 433,493.55 × 209,853.30
  4. Step 4: Simplify right side
    288,650.10x = 90,970,051,996.22
  5. Step 5: Solve for x
    x = 90,970,051,996.22/288,650.10
  6. Step 6: Final answer
    x = 315,156.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.