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Finding the Fourth Proportional to 451,813.42, 677,317.42 and 171,527.50

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Solution

The fourth proportional to 451,813.42, 677,317.42 and 171,527.50 is: 257,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,813.42 : 677,317.42 = 171,527.50 : x
  2. Step 2: Convert to fraction form
    451,813.42/677,317.42 = 171,527.50/x
  3. Step 3: Cross multiply
    451,813.42x = 677,317.42 × 171,527.50
  4. Step 4: Simplify right side
    451,813.42x = 116,178,562,280.17
  5. Step 5: Solve for x
    x = 116,178,562,280.17/451,813.42
  6. Step 6: Final answer
    x = 257,138.36

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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.