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Finding the Fourth Proportional to 506,145.56, 698,489.16 and 302,214.30

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Solution

The fourth proportional to 506,145.56, 698,489.16 and 302,214.30 is: 417,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,145.56 : 698,489.16 = 302,214.30 : x
  2. Step 2: Convert to fraction form
    506,145.56/698,489.16 = 302,214.30/x
  3. Step 3: Cross multiply
    506,145.56x = 698,489.16 × 302,214.30
  4. Step 4: Simplify right side
    506,145.56x = 211,093,412,546.99
  5. Step 5: Solve for x
    x = 211,093,412,546.99/506,145.56
  6. Step 6: Final answer
    x = 417,060.68

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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.