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Finding the Fourth Proportional to 274,095.48, 411,350.94 and 116,434.56

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Solution

The fourth proportional to 274,095.48, 411,350.94 and 116,434.56 is: 174,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,095.48 : 411,350.94 = 116,434.56 : x
  2. Step 2: Convert to fraction form
    274,095.48/411,350.94 = 116,434.56/x
  3. Step 3: Cross multiply
    274,095.48x = 411,350.94 × 116,434.56
  4. Step 4: Simplify right side
    274,095.48x = 47,895,465,704.49
  5. Step 5: Solve for x
    x = 47,895,465,704.49/274,095.48
  6. Step 6: Final answer
    x = 174,740.08

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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.