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Finding the Fourth Proportional to 320,214.30, 480,304.14 and 162,438.67

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Solution

The fourth proportional to 320,214.30, 480,304.14 and 162,438.67 is: 243,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,214.30 : 480,304.14 = 162,438.67 : x
  2. Step 2: Convert to fraction form
    320,214.30/480,304.14 = 162,438.67/x
  3. Step 3: Cross multiply
    320,214.30x = 480,304.14 × 162,438.67
  4. Step 4: Simplify right side
    320,214.30x = 78,019,965,697.09
  5. Step 5: Solve for x
    x = 78,019,965,697.09/320,214.30
  6. Step 6: Final answer
    x = 243,649.22

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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.