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Finding the Fourth Proportional to 433,539.60, 650,212.20 and 284,823.60

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Solution

The fourth proportional to 433,539.60, 650,212.20 and 284,823.60 is: 427,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,539.60 : 650,212.20 = 284,823.60 : x
  2. Step 2: Convert to fraction form
    433,539.60/650,212.20 = 284,823.60/x
  3. Step 3: Cross multiply
    433,539.60x = 650,212.20 × 284,823.60
  4. Step 4: Simplify right side
    433,539.60x = 185,195,779,567.92
  5. Step 5: Solve for x
    x = 185,195,779,567.92/433,539.60
  6. Step 6: Final answer
    x = 427,171.54

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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.