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Finding the Fourth Proportional to 274,502.45, 411,586.81 and 114,384.89

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Solution

The fourth proportional to 274,502.45, 411,586.81 and 114,384.89 is: 171,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,502.45 : 411,586.81 = 114,384.89 : x
  2. Step 2: Convert to fraction form
    274,502.45/411,586.81 = 114,384.89/x
  3. Step 3: Cross multiply
    274,502.45x = 411,586.81 × 114,384.89
  4. Step 4: Simplify right side
    274,502.45x = 47,079,312,730.31
  5. Step 5: Solve for x
    x = 47,079,312,730.31/274,502.45
  6. Step 6: Final answer
    x = 171,507.80

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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.