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Finding the Fourth Proportional to 274,618.52, 412,617.90 and 174,823.28

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Solution

The fourth proportional to 274,618.52, 412,617.90 and 174,823.28 is: 262,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,618.52 : 412,617.90 = 174,823.28 : x
  2. Step 2: Convert to fraction form
    274,618.52/412,617.90 = 174,823.28/x
  3. Step 3: Cross multiply
    274,618.52x = 412,617.90 × 174,823.28
  4. Step 4: Simplify right side
    274,618.52x = 72,135,214,664.71
  5. Step 5: Solve for x
    x = 72,135,214,664.71/274,618.52
  6. Step 6: Final answer
    x = 262,674.25

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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.