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Finding the Fourth Proportional to 274,403.96, 411,605.94 and 180,887.84

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Solution

The fourth proportional to 274,403.96, 411,605.94 and 180,887.84 is: 271,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,403.96 : 411,605.94 = 180,887.84 : x
  2. Step 2: Convert to fraction form
    274,403.96/411,605.94 = 180,887.84/x
  3. Step 3: Cross multiply
    274,403.96x = 411,605.94 × 180,887.84
  4. Step 4: Simplify right side
    274,403.96x = 74,454,509,417.77
  5. Step 5: Solve for x
    x = 74,454,509,417.77/274,403.96
  6. Step 6: Final answer
    x = 271,331.76

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1.5x scale

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.