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Finding the Fourth Proportional to 497,272.88, 746,431.10 and 440,708.66

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Solution

The fourth proportional to 497,272.88, 746,431.10 and 440,708.66 is: 661,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,272.88 : 746,431.10 = 440,708.66 : x
  2. Step 2: Convert to fraction form
    497,272.88/746,431.10 = 440,708.66/x
  3. Step 3: Cross multiply
    497,272.88x = 746,431.10 × 440,708.66
  4. Step 4: Simplify right side
    497,272.88x = 328,958,649,863.33
  5. Step 5: Solve for x
    x = 328,958,649,863.33/497,272.88
  6. Step 6: Final answer
    x = 661,525.42

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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.