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Finding the Fourth Proportional to 522,567.27, 721,142.33 and 296,212.77

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Solution

The fourth proportional to 522,567.27, 721,142.33 and 296,212.77 is: 408,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,567.27 : 721,142.33 = 296,212.77 : x
  2. Step 2: Convert to fraction form
    522,567.27/721,142.33 = 296,212.77/x
  3. Step 3: Cross multiply
    522,567.27x = 721,142.33 × 296,212.77
  4. Step 4: Simplify right side
    522,567.27x = 213,611,565,652.49
  5. Step 5: Solve for x
    x = 213,611,565,652.49/522,567.27
  6. Step 6: Final answer
    x = 408,773.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.