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Finding the Fourth Proportional to 777,671.63, 1,073,186.89 and 419,975.63

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Solution

The fourth proportional to 777,671.63, 1,073,186.89 and 419,975.63 is: 579,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,671.63 : 1,073,186.89 = 419,975.63 : x
  2. Step 2: Convert to fraction form
    777,671.63/1,073,186.89 = 419,975.63/x
  3. Step 3: Cross multiply
    777,671.63x = 1,073,186.89 × 419,975.63
  4. Step 4: Simplify right side
    777,671.63x = 450,712,333,819.62
  5. Step 5: Solve for x
    x = 450,712,333,819.62/777,671.63
  6. Step 6: Final answer
    x = 579,566.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.