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Finding the Fourth Proportional to 274,323.40, 411,443.52 and 74,659.35

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Solution

The fourth proportional to 274,323.40, 411,443.52 and 74,659.35 is: 111,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,323.40 : 411,443.52 = 74,659.35 : x
  2. Step 2: Convert to fraction form
    274,323.40/411,443.52 = 74,659.35/x
  3. Step 3: Cross multiply
    274,323.40x = 411,443.52 × 74,659.35
  4. Step 4: Simplify right side
    274,323.40x = 30,718,104,186.24
  5. Step 5: Solve for x
    x = 30,718,104,186.24/274,323.40
  6. Step 6: Final answer
    x = 111,977.70

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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.