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Finding the Fourth Proportional to 492,726.80, 739,090.20 and 413,010.65

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Solution

The fourth proportional to 492,726.80, 739,090.20 and 413,010.65 is: 619,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,726.80 : 739,090.20 = 413,010.65 : x
  2. Step 2: Convert to fraction form
    492,726.80/739,090.20 = 413,010.65/x
  3. Step 3: Cross multiply
    492,726.80x = 739,090.20 × 413,010.65
  4. Step 4: Simplify right side
    492,726.80x = 305,252,123,910.63
  5. Step 5: Solve for x
    x = 305,252,123,910.63/492,726.80
  6. Step 6: Final answer
    x = 619,515.98

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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.