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Finding the Fourth Proportional to 408,994.50, 564,266.30 and 236,818.47

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Solution

The fourth proportional to 408,994.50, 564,266.30 and 236,818.47 is: 326,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,994.50 : 564,266.30 = 236,818.47 : x
  2. Step 2: Convert to fraction form
    408,994.50/564,266.30 = 236,818.47/x
  3. Step 3: Cross multiply
    408,994.50x = 564,266.30 × 236,818.47
  4. Step 4: Simplify right side
    408,994.50x = 133,628,681,838.56
  5. Step 5: Solve for x
    x = 133,628,681,838.56/408,994.50
  6. Step 6: Final answer
    x = 326,724.89

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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.