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Finding the Fourth Proportional to 274,188.80, 411,436.80 and 116,390.40

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Solution

The fourth proportional to 274,188.80, 411,436.80 and 116,390.40 is: 174,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,188.80 : 411,436.80 = 116,390.40 : x
  2. Step 2: Convert to fraction form
    274,188.80/411,436.80 = 116,390.40/x
  3. Step 3: Cross multiply
    274,188.80x = 411,436.80 × 116,390.40
  4. Step 4: Simplify right side
    274,188.80x = 47,887,293,726.72
  5. Step 5: Solve for x
    x = 47,887,293,726.72/274,188.80
  6. Step 6: Final answer
    x = 174,650.80

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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.