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Finding the Fourth Proportional to 507,049.12, 699,183.66 and 427,354.84

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Solution

The fourth proportional to 507,049.12, 699,183.66 and 427,354.84 is: 589,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,049.12 : 699,183.66 = 427,354.84 : x
  2. Step 2: Convert to fraction form
    507,049.12/699,183.66 = 427,354.84/x
  3. Step 3: Cross multiply
    507,049.12x = 699,183.66 × 427,354.84
  4. Step 4: Simplify right side
    507,049.12x = 298,799,521,149.91
  5. Step 5: Solve for x
    x = 298,799,521,149.91/507,049.12
  6. Step 6: Final answer
    x = 589,291.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.