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Finding the Fourth Proportional to 409,151.70, 610,967.03 and 334,422.18

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Solution

The fourth proportional to 409,151.70, 610,967.03 and 334,422.18 is: 499,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,151.70 : 610,967.03 = 334,422.18 : x
  2. Step 2: Convert to fraction form
    409,151.70/610,967.03 = 334,422.18/x
  3. Step 3: Cross multiply
    409,151.70x = 610,967.03 × 334,422.18
  4. Step 4: Simplify right side
    409,151.70x = 204,320,924,408.62
  5. Step 5: Solve for x
    x = 204,320,924,408.62/409,151.70
  6. Step 6: Final answer
    x = 499,376.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.