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Finding the Fourth Proportional to 498,235.86, 746,727.54 and 213,589.68

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Solution

The fourth proportional to 498,235.86, 746,727.54 and 213,589.68 is: 320,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,235.86 : 746,727.54 = 213,589.68 : x
  2. Step 2: Convert to fraction form
    498,235.86/746,727.54 = 213,589.68/x
  3. Step 3: Cross multiply
    498,235.86x = 746,727.54 × 213,589.68
  4. Step 4: Simplify right side
    498,235.86x = 159,493,296,315.79
  5. Step 5: Solve for x
    x = 159,493,296,315.79/498,235.86
  6. Step 6: Final answer
    x = 320,116.05

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1.5x scale

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.