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Finding the Fourth Proportional to 493,925.80, 741,234.30 and 213,644.20

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Solution

The fourth proportional to 493,925.80, 741,234.30 and 213,644.20 is: 320,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,925.80 : 741,234.30 = 213,644.20 : x
  2. Step 2: Convert to fraction form
    493,925.80/741,234.30 = 213,644.20/x
  3. Step 3: Cross multiply
    493,925.80x = 741,234.30 × 213,644.20
  4. Step 4: Simplify right side
    493,925.80x = 158,360,409,036.06
  5. Step 5: Solve for x
    x = 158,360,409,036.06/493,925.80
  6. Step 6: Final answer
    x = 320,615.79

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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.