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Finding the Fourth Proportional to 275,295.60, 413,186.40 and 162,835.20

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Solution

The fourth proportional to 275,295.60, 413,186.40 and 162,835.20 is: 244,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,295.60 : 413,186.40 = 162,835.20 : x
  2. Step 2: Convert to fraction form
    275,295.60/413,186.40 = 162,835.20/x
  3. Step 3: Cross multiply
    275,295.60x = 413,186.40 × 162,835.20
  4. Step 4: Simplify right side
    275,295.60x = 67,281,290,081.28
  5. Step 5: Solve for x
    x = 67,281,290,081.28/275,295.60
  6. Step 6: Final answer
    x = 244,396.53

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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.