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Finding the Fourth Proportional to 320,421.30, 480,675.15 and 110,123.70

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Solution

The fourth proportional to 320,421.30, 480,675.15 and 110,123.70 is: 165,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,421.30 : 480,675.15 = 110,123.70 : x
  2. Step 2: Convert to fraction form
    320,421.30/480,675.15 = 110,123.70/x
  3. Step 3: Cross multiply
    320,421.30x = 480,675.15 × 110,123.70
  4. Step 4: Simplify right side
    320,421.30x = 52,933,726,016.06
  5. Step 5: Solve for x
    x = 52,933,726,016.06/320,421.30
  6. Step 6: Final answer
    x = 165,200.40

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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.