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Finding the Fourth Proportional to 317,932.88, 476,511.96 and 175,772.48

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Solution

The fourth proportional to 317,932.88, 476,511.96 and 175,772.48 is: 263,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,932.88 : 476,511.96 = 175,772.48 : x
  2. Step 2: Convert to fraction form
    317,932.88/476,511.96 = 175,772.48/x
  3. Step 3: Cross multiply
    317,932.88x = 476,511.96 × 175,772.48
  4. Step 4: Simplify right side
    317,932.88x = 83,757,688,958.86
  5. Step 5: Solve for x
    x = 83,757,688,958.86/317,932.88
  6. Step 6: Final answer
    x = 263,444.56

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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.