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Finding the Fourth Proportional to 500,633.75, 750,867.50 and 180,724.25

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Solution

The fourth proportional to 500,633.75, 750,867.50 and 180,724.25 is: 271,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,633.75 : 750,867.50 = 180,724.25 : x
  2. Step 2: Convert to fraction form
    500,633.75/750,867.50 = 180,724.25/x
  3. Step 3: Cross multiply
    500,633.75x = 750,867.50 × 180,724.25
  4. Step 4: Simplify right side
    500,633.75x = 135,699,961,128.92
  5. Step 5: Solve for x
    x = 135,699,961,128.92/500,633.75
  6. Step 6: Final answer
    x = 271,056.36

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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.