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Finding the Fourth Proportional to 297,408, 410,425.92 and 163,274.88

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Solution

The fourth proportional to 297,408, 410,425.92 and 163,274.88 is: 225,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,408 : 410,425.92 = 163,274.88 : x
  2. Step 2: Convert to fraction form
    297,408/410,425.92 = 163,274.88/x
  3. Step 3: Cross multiply
    297,408x = 410,425.92 × 163,274.88
  4. Step 4: Simplify right side
    297,408x = 67,012,242,836.89
  5. Step 5: Solve for x
    x = 67,012,242,836.89/297,408
  6. Step 6: Final answer
    x = 225,320.92

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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.