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Finding the Fourth Proportional to 565,653.85, 848,258.42 and 205,739.26

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Solution

The fourth proportional to 565,653.85, 848,258.42 and 205,739.26 is: 308,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,653.85 : 848,258.42 = 205,739.26 : x
  2. Step 2: Convert to fraction form
    565,653.85/848,258.42 = 205,739.26/x
  3. Step 3: Cross multiply
    565,653.85x = 848,258.42 × 205,739.26
  4. Step 4: Simplify right side
    565,653.85x = 174,520,056,952.95
  5. Step 5: Solve for x
    x = 174,520,056,952.95/565,653.85
  6. Step 6: Final answer
    x = 308,528.01

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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.