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Finding the Fourth Proportional to 297,762.34, 410,930.40 and 170,435.20

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Solution

The fourth proportional to 297,762.34, 410,930.40 and 170,435.20 is: 235,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,762.34 : 410,930.40 = 170,435.20 : x
  2. Step 2: Convert to fraction form
    297,762.34/410,930.40 = 170,435.20/x
  3. Step 3: Cross multiply
    297,762.34x = 410,930.40 × 170,435.20
  4. Step 4: Simplify right side
    297,762.34x = 70,037,004,910.08
  5. Step 5: Solve for x
    x = 70,037,004,910.08/297,762.34
  6. Step 6: Final answer
    x = 235,211.09

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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.