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Finding the Fourth Proportional to 493,497.30, 740,591.55 and 213,215.70

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Solution

The fourth proportional to 493,497.30, 740,591.55 and 213,215.70 is: 319,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,497.30 : 740,591.55 = 213,215.70 : x
  2. Step 2: Convert to fraction form
    493,497.30/740,591.55 = 213,215.70/x
  3. Step 3: Cross multiply
    493,497.30x = 740,591.55 × 213,215.70
  4. Step 4: Simplify right side
    493,497.30x = 157,905,745,747.34
  5. Step 5: Solve for x
    x = 157,905,745,747.34/493,497.30
  6. Step 6: Final answer
    x = 319,972.87

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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.