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Finding the Fourth Proportional to 320,477.24, 480,679.14 and 83,842.76

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Solution

The fourth proportional to 320,477.24, 480,679.14 and 83,842.76 is: 125,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,477.24 : 480,679.14 = 83,842.76 : x
  2. Step 2: Convert to fraction form
    320,477.24/480,679.14 = 83,842.76/x
  3. Step 3: Cross multiply
    320,477.24x = 480,679.14 × 83,842.76
  4. Step 4: Simplify right side
    320,477.24x = 40,301,465,772.03
  5. Step 5: Solve for x
    x = 40,301,465,772.03/320,477.24
  6. Step 6: Final answer
    x = 125,754.53

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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.