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Finding the Fourth Proportional to 274,113.50, 411,230.73 and 116,476.70

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Solution

The fourth proportional to 274,113.50, 411,230.73 and 116,476.70 is: 174,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,113.50 : 411,230.73 = 116,476.70 : x
  2. Step 2: Convert to fraction form
    274,113.50/411,230.73 = 116,476.70/x
  3. Step 3: Cross multiply
    274,113.50x = 411,230.73 × 116,476.70
  4. Step 4: Simplify right side
    274,113.50x = 47,898,798,368.99
  5. Step 5: Solve for x
    x = 47,898,798,368.99/274,113.50
  6. Step 6: Final answer
    x = 174,740.75

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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.