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Finding the Fourth Proportional to 402,431.12, 603,197.06 and 174,463.57

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Solution

The fourth proportional to 402,431.12, 603,197.06 and 174,463.57 is: 261,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,431.12 : 603,197.06 = 174,463.57 : x
  2. Step 2: Convert to fraction form
    402,431.12/603,197.06 = 174,463.57/x
  3. Step 3: Cross multiply
    402,431.12x = 603,197.06 × 174,463.57
  4. Step 4: Simplify right side
    402,431.12x = 105,235,912,501.10
  5. Step 5: Solve for x
    x = 105,235,912,501.10/402,431.12
  6. Step 6: Final answer
    x = 261,500.43

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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.