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Finding the Fourth Proportional to 565,315.50, 848,362.05 and 232,891.50

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Solution

The fourth proportional to 565,315.50, 848,362.05 and 232,891.50 is: 349,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,315.50 : 848,362.05 = 232,891.50 : x
  2. Step 2: Convert to fraction form
    565,315.50/848,362.05 = 232,891.50/x
  3. Step 3: Cross multiply
    565,315.50x = 848,362.05 × 232,891.50
  4. Step 4: Simplify right side
    565,315.50x = 197,576,310,367.58
  5. Step 5: Solve for x
    x = 197,576,310,367.58/565,315.50
  6. Step 6: Final answer
    x = 349,497.42

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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.