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Finding the Fourth Proportional to 408,994.09, 564,265.76 and 236,818.08

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Solution

The fourth proportional to 408,994.09, 564,265.76 and 236,818.08 is: 326,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,994.09 : 564,265.76 = 236,818.08 : x
  2. Step 2: Convert to fraction form
    408,994.09/564,265.76 = 236,818.08/x
  3. Step 3: Cross multiply
    408,994.09x = 564,265.76 × 236,818.08
  4. Step 4: Simplify right side
    408,994.09x = 133,628,333,892.94
  5. Step 5: Solve for x
    x = 133,628,333,892.94/408,994.09
  6. Step 6: Final answer
    x = 326,724.36

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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.