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Finding the Fourth Proportional to 490,230.80, 735,346.77 and 153,273.21

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Solution

The fourth proportional to 490,230.80, 735,346.77 and 153,273.21 is: 229,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,230.80 : 735,346.77 = 153,273.21 : x
  2. Step 2: Convert to fraction form
    490,230.80/735,346.77 = 153,273.21/x
  3. Step 3: Cross multiply
    490,230.80x = 735,346.77 × 153,273.21
  4. Step 4: Simplify right side
    490,230.80x = 112,708,959,901.03
  5. Step 5: Solve for x
    x = 112,708,959,901.03/490,230.80
  6. Step 6: Final answer
    x = 229,910.00

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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.