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Finding the Fourth Proportional to 297,964.52, 411,191 and 163,828.52

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Solution

The fourth proportional to 297,964.52, 411,191 and 163,828.52 is: 226,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,964.52 : 411,191 = 163,828.52 : x
  2. Step 2: Convert to fraction form
    297,964.52/411,191 = 163,828.52/x
  3. Step 3: Cross multiply
    297,964.52x = 411,191 × 163,828.52
  4. Step 4: Simplify right side
    297,964.52x = 67,364,812,967.32
  5. Step 5: Solve for x
    x = 67,364,812,967.32/297,964.52
  6. Step 6: Final answer
    x = 226,083.34

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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.