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Finding the Fourth Proportional to 273,914.30, 410,964.86 and 147,567.51

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Solution

The fourth proportional to 273,914.30, 410,964.86 and 147,567.51 is: 221,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,914.30 : 410,964.86 = 147,567.51 : x
  2. Step 2: Convert to fraction form
    273,914.30/410,964.86 = 147,567.51/x
  3. Step 3: Cross multiply
    273,914.30x = 410,964.86 × 147,567.51
  4. Step 4: Simplify right side
    273,914.30x = 60,645,060,349.86
  5. Step 5: Solve for x
    x = 60,645,060,349.86/273,914.30
  6. Step 6: Final answer
    x = 221,401.59

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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.