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Finding the Fourth Proportional to 531,017.32, 796,353.76 and 175,936

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Solution

The fourth proportional to 531,017.32, 796,353.76 and 175,936 is: 263,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,017.32 : 796,353.76 = 175,936 : x
  2. Step 2: Convert to fraction form
    531,017.32/796,353.76 = 175,936/x
  3. Step 3: Cross multiply
    531,017.32x = 796,353.76 × 175,936
  4. Step 4: Simplify right side
    531,017.32x = 140,107,295,119.36
  5. Step 5: Solve for x
    x = 140,107,295,119.36/531,017.32
  6. Step 6: Final answer
    x = 263,846.94

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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.