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Finding the Fourth Proportional to 311,483.16, 466,896.68 and 161,564.31

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Solution

The fourth proportional to 311,483.16, 466,896.68 and 161,564.31 is: 242,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,483.16 : 466,896.68 = 161,564.31 : x
  2. Step 2: Convert to fraction form
    311,483.16/466,896.68 = 161,564.31/x
  3. Step 3: Cross multiply
    311,483.16x = 466,896.68 × 161,564.31
  4. Step 4: Simplify right side
    311,483.16x = 75,433,839,137.67
  5. Step 5: Solve for x
    x = 75,433,839,137.67/311,483.16
  6. Step 6: Final answer
    x = 242,176.30

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1.5x scale

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.