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Finding the Fourth Proportional to 320,432.83, 480,676.52 and 83,775.13

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Solution

The fourth proportional to 320,432.83, 480,676.52 and 83,775.13 is: 125,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,432.83 : 480,676.52 = 83,775.13 : x
  2. Step 2: Convert to fraction form
    320,432.83/480,676.52 = 83,775.13/x
  3. Step 3: Cross multiply
    320,432.83x = 480,676.52 × 83,775.13
  4. Step 4: Simplify right side
    320,432.83x = 40,268,737,950.95
  5. Step 5: Solve for x
    x = 40,268,737,950.95/320,432.83
  6. Step 6: Final answer
    x = 125,669.83

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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.