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Finding the Fourth Proportional to 466,273.40, 699,698.10 and 185,761.40

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Solution

The fourth proportional to 466,273.40, 699,698.10 and 185,761.40 is: 278,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,273.40 : 699,698.10 = 185,761.40 : x
  2. Step 2: Convert to fraction form
    466,273.40/699,698.10 = 185,761.40/x
  3. Step 3: Cross multiply
    466,273.40x = 699,698.10 × 185,761.40
  4. Step 4: Simplify right side
    466,273.40x = 129,976,898,633.34
  5. Step 5: Solve for x
    x = 129,976,898,633.34/466,273.40
  6. Step 6: Final answer
    x = 278,756.84

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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.