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Finding the Fourth Proportional to 565,835.44, 848,858.10 and 186,782.56

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Solution

The fourth proportional to 565,835.44, 848,858.10 and 186,782.56 is: 280,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,835.44 : 848,858.10 = 186,782.56 : x
  2. Step 2: Convert to fraction form
    565,835.44/848,858.10 = 186,782.56/x
  3. Step 3: Cross multiply
    565,835.44x = 848,858.10 × 186,782.56
  4. Step 4: Simplify right side
    565,835.44x = 158,551,888,994.74
  5. Step 5: Solve for x
    x = 158,551,888,994.74/565,835.44
  6. Step 6: Final answer
    x = 280,208.48

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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.