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Finding the Fourth Proportional to 442,742.40, 664,113.58 and 421,230.53

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Solution

The fourth proportional to 442,742.40, 664,113.58 and 421,230.53 is: 631,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,742.40 : 664,113.58 = 421,230.53 : x
  2. Step 2: Convert to fraction form
    442,742.40/664,113.58 = 421,230.53/x
  3. Step 3: Cross multiply
    442,742.40x = 664,113.58 × 421,230.53
  4. Step 4: Simplify right side
    442,742.40x = 279,744,915,890.81
  5. Step 5: Solve for x
    x = 279,744,915,890.81/442,742.40
  6. Step 6: Final answer
    x = 631,845.78

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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.