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Finding the Fourth Proportional to 565,682.58, 848,301.48 and 205,768

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Solution

The fourth proportional to 565,682.58, 848,301.48 and 205,768 is: 308,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,682.58 : 848,301.48 = 205,768 : x
  2. Step 2: Convert to fraction form
    565,682.58/848,301.48 = 205,768/x
  3. Step 3: Cross multiply
    565,682.58x = 848,301.48 × 205,768
  4. Step 4: Simplify right side
    565,682.58x = 174,553,298,936.64
  5. Step 5: Solve for x
    x = 174,553,298,936.64/565,682.58
  6. Step 6: Final answer
    x = 308,571.11

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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.