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Finding the Fourth Proportional to 320,216.67, 480,307.68 and 162,441.03

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Solution

The fourth proportional to 320,216.67, 480,307.68 and 162,441.03 is: 243,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,216.67 : 480,307.68 = 162,441.03 : x
  2. Step 2: Convert to fraction form
    320,216.67/480,307.68 = 162,441.03/x
  3. Step 3: Cross multiply
    320,216.67x = 480,307.68 × 162,441.03
  4. Step 4: Simplify right side
    320,216.67x = 78,021,674,256.11
  5. Step 5: Solve for x
    x = 78,021,674,256.11/320,216.67
  6. Step 6: Final answer
    x = 243,652.76

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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.