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Finding the Fourth Proportional to 297,536.10, 410,599.35 and 163,400.10

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Solution

The fourth proportional to 297,536.10, 410,599.35 and 163,400.10 is: 225,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,536.10 : 410,599.35 = 163,400.10 : x
  2. Step 2: Convert to fraction form
    297,536.10/410,599.35 = 163,400.10/x
  3. Step 3: Cross multiply
    297,536.10x = 410,599.35 × 163,400.10
  4. Step 4: Simplify right side
    297,536.10x = 67,091,974,849.94
  5. Step 5: Solve for x
    x = 67,091,974,849.94/297,536.10
  6. Step 6: Final answer
    x = 225,491.88

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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.