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Finding the Fourth Proportional to 493,246.80, 739,870.20 and 413,530.65

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Solution

The fourth proportional to 493,246.80, 739,870.20 and 413,530.65 is: 620,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,246.80 : 739,870.20 = 413,530.65 : x
  2. Step 2: Convert to fraction form
    493,246.80/739,870.20 = 413,530.65/x
  3. Step 3: Cross multiply
    493,246.80x = 739,870.20 × 413,530.65
  4. Step 4: Simplify right side
    493,246.80x = 305,959,004,721.63
  5. Step 5: Solve for x
    x = 305,959,004,721.63/493,246.80
  6. Step 6: Final answer
    x = 620,295.98

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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.