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Finding the Fourth Proportional to 273,400.10, 410,100.15 and 229,076.90

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Solution

The fourth proportional to 273,400.10, 410,100.15 and 229,076.90 is: 343,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,400.10 : 410,100.15 = 229,076.90 : x
  2. Step 2: Convert to fraction form
    273,400.10/410,100.15 = 229,076.90/x
  3. Step 3: Cross multiply
    273,400.10x = 410,100.15 × 229,076.90
  4. Step 4: Simplify right side
    273,400.10x = 93,944,471,051.54
  5. Step 5: Solve for x
    x = 93,944,471,051.54/273,400.10
  6. Step 6: Final answer
    x = 343,615.35

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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.