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Finding the Fourth Proportional to 534,509.50, 737,635.02 and 305,062.18

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Solution

The fourth proportional to 534,509.50, 737,635.02 and 305,062.18 is: 420,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,509.50 : 737,635.02 = 305,062.18 : x
  2. Step 2: Convert to fraction form
    534,509.50/737,635.02 = 305,062.18/x
  3. Step 3: Cross multiply
    534,509.50x = 737,635.02 × 305,062.18
  4. Step 4: Simplify right side
    534,509.50x = 225,024,547,245.54
  5. Step 5: Solve for x
    x = 225,024,547,245.54/534,509.50
  6. Step 6: Final answer
    x = 420,992.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.