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Finding the Fourth Proportional to 269,434.20, 403,713.90 and 169,415.40

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Solution

The fourth proportional to 269,434.20, 403,713.90 and 169,415.40 is: 253,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,434.20 : 403,713.90 = 169,415.40 : x
  2. Step 2: Convert to fraction form
    269,434.20/403,713.90 = 169,415.40/x
  3. Step 3: Cross multiply
    269,434.20x = 403,713.90 × 169,415.40
  4. Step 4: Simplify right side
    269,434.20x = 68,395,351,854.06
  5. Step 5: Solve for x
    x = 68,395,351,854.06/269,434.20
  6. Step 6: Final answer
    x = 253,848.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.