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Finding the Fourth Proportional to 565,870.24, 848,860.72 and 206,138.80

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Solution

The fourth proportional to 565,870.24, 848,860.72 and 206,138.80 is: 309,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,870.24 : 848,860.72 = 206,138.80 : x
  2. Step 2: Convert to fraction form
    565,870.24/848,860.72 = 206,138.80/x
  3. Step 3: Cross multiply
    565,870.24x = 848,860.72 × 206,138.80
  4. Step 4: Simplify right side
    565,870.24x = 174,983,130,187.94
  5. Step 5: Solve for x
    x = 174,983,130,187.94/565,870.24
  6. Step 6: Final answer
    x = 309,228.37

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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.