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Finding the Fourth Proportional to 274,433.40, 411,650.10 and 97,140.60

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Solution

The fourth proportional to 274,433.40, 411,650.10 and 97,140.60 is: 145,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,433.40 : 411,650.10 = 97,140.60 : x
  2. Step 2: Convert to fraction form
    274,433.40/411,650.10 = 97,140.60/x
  3. Step 3: Cross multiply
    274,433.40x = 411,650.10 × 97,140.60
  4. Step 4: Simplify right side
    274,433.40x = 39,987,937,704.06
  5. Step 5: Solve for x
    x = 39,987,937,704.06/274,433.40
  6. Step 6: Final answer
    x = 145,710.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.