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Finding the Fourth Proportional to 493,237.80, 739,856.70 and 413,521.65

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Solution

The fourth proportional to 493,237.80, 739,856.70 and 413,521.65 is: 620,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,237.80 : 739,856.70 = 413,521.65 : x
  2. Step 2: Convert to fraction form
    493,237.80/739,856.70 = 413,521.65/x
  3. Step 3: Cross multiply
    493,237.80x = 739,856.70 × 413,521.65
  4. Step 4: Simplify right side
    493,237.80x = 305,946,763,347.56
  5. Step 5: Solve for x
    x = 305,946,763,347.56/493,237.80
  6. Step 6: Final answer
    x = 620,282.48

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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.