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Finding the Fourth Proportional to 419,582.60, 629,374.50 and 320,306.46

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Solution

The fourth proportional to 419,582.60, 629,374.50 and 320,306.46 is: 480,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,582.60 : 629,374.50 = 320,306.46 : x
  2. Step 2: Convert to fraction form
    419,582.60/629,374.50 = 320,306.46/x
  3. Step 3: Cross multiply
    419,582.60x = 629,374.50 × 320,306.46
  4. Step 4: Simplify right side
    419,582.60x = 201,592,718,109.27
  5. Step 5: Solve for x
    x = 201,592,718,109.27/419,582.60
  6. Step 6: Final answer
    x = 480,460.15

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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.