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Finding the Fourth Proportional to 274,017.90, 411,084.36 and 116,242.86

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Solution

The fourth proportional to 274,017.90, 411,084.36 and 116,242.86 is: 174,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,017.90 : 411,084.36 = 116,242.86 : x
  2. Step 2: Convert to fraction form
    274,017.90/411,084.36 = 116,242.86/x
  3. Step 3: Cross multiply
    274,017.90x = 411,084.36 × 116,242.86
  4. Step 4: Simplify right side
    274,017.90x = 47,785,621,707.67
  5. Step 5: Solve for x
    x = 47,785,621,707.67/274,017.90
  6. Step 6: Final answer
    x = 174,388.69

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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.