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Finding the Fourth Proportional to 274,690.42, 411,297.36 and 174,307.12

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Solution

The fourth proportional to 274,690.42, 411,297.36 and 174,307.12 is: 260,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,690.42 : 411,297.36 = 174,307.12 : x
  2. Step 2: Convert to fraction form
    274,690.42/411,297.36 = 174,307.12/x
  3. Step 3: Cross multiply
    274,690.42x = 411,297.36 × 174,307.12
  4. Step 4: Simplify right side
    274,690.42x = 71,692,058,285.20
  5. Step 5: Solve for x
    x = 71,692,058,285.20/274,690.42
  6. Step 6: Final answer
    x = 260,992.20

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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.