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Finding the Fourth Proportional to 274,504.90, 411,066.15 and 180,501.70

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Solution

The fourth proportional to 274,504.90, 411,066.15 and 180,501.70 is: 270,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,504.90 : 411,066.15 = 180,501.70 : x
  2. Step 2: Convert to fraction form
    274,504.90/411,066.15 = 180,501.70/x
  3. Step 3: Cross multiply
    274,504.90x = 411,066.15 × 180,501.70
  4. Step 4: Simplify right side
    274,504.90x = 74,198,138,887.46
  5. Step 5: Solve for x
    x = 74,198,138,887.46/274,504.90
  6. Step 6: Final answer
    x = 270,298.05

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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.