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Finding the Fourth Proportional to 494,157, 681,937.23 and 267,802.50

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Solution

The fourth proportional to 494,157, 681,937.23 and 267,802.50 is: 369,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,157 : 681,937.23 = 267,802.50 : x
  2. Step 2: Convert to fraction form
    494,157/681,937.23 = 267,802.50/x
  3. Step 3: Cross multiply
    494,157x = 681,937.23 × 267,802.50
  4. Step 4: Simplify right side
    494,157x = 182,624,495,037.08
  5. Step 5: Solve for x
    x = 182,624,495,037.08/494,157
  6. Step 6: Final answer
    x = 369,567.76

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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.