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Finding the Fourth Proportional to 506,114.20, 759,171.30 and 206,495.20

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Solution

The fourth proportional to 506,114.20, 759,171.30 and 206,495.20 is: 309,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,114.20 : 759,171.30 = 206,495.20 : x
  2. Step 2: Convert to fraction form
    506,114.20/759,171.30 = 206,495.20/x
  3. Step 3: Cross multiply
    506,114.20x = 759,171.30 × 206,495.20
  4. Step 4: Simplify right side
    506,114.20x = 156,765,229,427.76
  5. Step 5: Solve for x
    x = 156,765,229,427.76/506,114.20
  6. Step 6: Final answer
    x = 309,742.80

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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.