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Finding the Fourth Proportional to 446,749.88, 670,207.84 and 147,251.50

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Solution

The fourth proportional to 446,749.88, 670,207.84 and 147,251.50 is: 220,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,749.88 : 670,207.84 = 147,251.50 : x
  2. Step 2: Convert to fraction form
    446,749.88/670,207.84 = 147,251.50/x
  3. Step 3: Cross multiply
    446,749.88x = 670,207.84 × 147,251.50
  4. Step 4: Simplify right side
    446,749.88x = 98,689,107,708.11
  5. Step 5: Solve for x
    x = 98,689,107,708.11/446,749.88
  6. Step 6: Final answer
    x = 220,904.61

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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.