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Finding the Fourth Proportional to 455,188.92, 682,980.18 and 174,640.56

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Solution

The fourth proportional to 455,188.92, 682,980.18 and 174,640.56 is: 262,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,188.92 : 682,980.18 = 174,640.56 : x
  2. Step 2: Convert to fraction form
    455,188.92/682,980.18 = 174,640.56/x
  3. Step 3: Cross multiply
    455,188.92x = 682,980.18 × 174,640.56
  4. Step 4: Simplify right side
    455,188.92x = 119,276,041,104.10
  5. Step 5: Solve for x
    x = 119,276,041,104.10/455,188.92
  6. Step 6: Final answer
    x = 262,036.35

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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.