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Finding the Fourth Proportional to 480,853.86, 721,346.40 and 200,305.50

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Solution

The fourth proportional to 480,853.86, 721,346.40 and 200,305.50 is: 300,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,853.86 : 721,346.40 = 200,305.50 : x
  2. Step 2: Convert to fraction form
    480,853.86/721,346.40 = 200,305.50/x
  3. Step 3: Cross multiply
    480,853.86x = 721,346.40 × 200,305.50
  4. Step 4: Simplify right side
    480,853.86x = 144,489,651,325.20
  5. Step 5: Solve for x
    x = 144,489,651,325.20/480,853.86
  6. Step 6: Final answer
    x = 300,485.58

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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.