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Finding the Fourth Proportional to 320,308.34, 480,462.60 and 83,648.99

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Solution

The fourth proportional to 320,308.34, 480,462.60 and 83,648.99 is: 125,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,308.34 : 480,462.60 = 83,648.99 : x
  2. Step 2: Convert to fraction form
    320,308.34/480,462.60 = 83,648.99/x
  3. Step 3: Cross multiply
    320,308.34x = 480,462.60 × 83,648.99
  4. Step 4: Simplify right side
    320,308.34x = 40,190,211,222.77
  5. Step 5: Solve for x
    x = 40,190,211,222.77/320,308.34
  6. Step 6: Final answer
    x = 125,473.51

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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.