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Finding the Fourth Proportional to 611,780.16, 844,563.60 and 382,464.84

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Solution

The fourth proportional to 611,780.16, 844,563.60 and 382,464.84 is: 527,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,780.16 : 844,563.60 = 382,464.84 : x
  2. Step 2: Convert to fraction form
    611,780.16/844,563.60 = 382,464.84/x
  3. Step 3: Cross multiply
    611,780.16x = 844,563.60 × 382,464.84
  4. Step 4: Simplify right side
    611,780.16x = 323,015,882,143.82
  5. Step 5: Solve for x
    x = 323,015,882,143.82/611,780.16
  6. Step 6: Final answer
    x = 527,993.39

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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.