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Finding the Fourth Proportional to 323,955.16, 486,080.43 and 166,294.42

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Solution

The fourth proportional to 323,955.16, 486,080.43 and 166,294.42 is: 249,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,955.16 : 486,080.43 = 166,294.42 : x
  2. Step 2: Convert to fraction form
    323,955.16/486,080.43 = 166,294.42/x
  3. Step 3: Cross multiply
    323,955.16x = 486,080.43 × 166,294.42
  4. Step 4: Simplify right side
    323,955.16x = 80,832,461,341.40
  5. Step 5: Solve for x
    x = 80,832,461,341.40/323,955.16
  6. Step 6: Final answer
    x = 249,517.44

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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.