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Finding the Fourth Proportional to 274,622.59, 411,869.31 and 154,731.57

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Solution

The fourth proportional to 274,622.59, 411,869.31 and 154,731.57 is: 232,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,622.59 : 411,869.31 = 154,731.57 : x
  2. Step 2: Convert to fraction form
    274,622.59/411,869.31 = 154,731.57/x
  3. Step 3: Cross multiply
    274,622.59x = 411,869.31 × 154,731.57
  4. Step 4: Simplify right side
    274,622.59x = 63,729,184,971.12
  5. Step 5: Solve for x
    x = 63,729,184,971.12/274,622.59
  6. Step 6: Final answer
    x = 232,060.97

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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.