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Finding the Fourth Proportional to 497,357.88, 746,257.29 and 260,644.26

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Solution

The fourth proportional to 497,357.88, 746,257.29 and 260,644.26 is: 391,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,357.88 : 746,257.29 = 260,644.26 : x
  2. Step 2: Convert to fraction form
    497,357.88/746,257.29 = 260,644.26/x
  3. Step 3: Cross multiply
    497,357.88x = 746,257.29 × 260,644.26
  4. Step 4: Simplify right side
    497,357.88x = 194,507,679,121.66
  5. Step 5: Solve for x
    x = 194,507,679,121.66/497,357.88
  6. Step 6: Final answer
    x = 391,081.93

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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.