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Finding the Fourth Proportional to 297,957.40, 411,181.14 and 163,821.40

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Solution

The fourth proportional to 297,957.40, 411,181.14 and 163,821.40 is: 226,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,957.40 : 411,181.14 = 163,821.40 : x
  2. Step 2: Convert to fraction form
    297,957.40/411,181.14 = 163,821.40/x
  3. Step 3: Cross multiply
    297,957.40x = 411,181.14 × 163,821.40
  4. Step 4: Simplify right side
    297,957.40x = 67,360,270,008.40
  5. Step 5: Solve for x
    x = 67,360,270,008.40/297,957.40
  6. Step 6: Final answer
    x = 226,073.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.