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Finding the Fourth Proportional to 297,298.76, 410,272.56 and 169,977.02

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Solution

The fourth proportional to 297,298.76, 410,272.56 and 169,977.02 is: 234,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,298.76 : 410,272.56 = 169,977.02 : x
  2. Step 2: Convert to fraction form
    297,298.76/410,272.56 = 169,977.02/x
  3. Step 3: Cross multiply
    297,298.76x = 410,272.56 × 169,977.02
  4. Step 4: Simplify right side
    297,298.76x = 69,736,905,085.21
  5. Step 5: Solve for x
    x = 69,736,905,085.21/297,298.76
  6. Step 6: Final answer
    x = 234,568.44

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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.