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Finding the Fourth Proportional to 441,056.88, 661,590.43 and 419,545

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Solution

The fourth proportional to 441,056.88, 661,590.43 and 419,545 is: 629,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,056.88 : 661,590.43 = 419,545 : x
  2. Step 2: Convert to fraction form
    441,056.88/661,590.43 = 419,545/x
  3. Step 3: Cross multiply
    441,056.88x = 661,590.43 × 419,545
  4. Step 4: Simplify right side
    441,056.88x = 277,566,956,954.35
  5. Step 5: Solve for x
    x = 277,566,956,954.35/441,056.88
  6. Step 6: Final answer
    x = 629,322.36

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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.