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Finding the Fourth Proportional to 441,585.83, 661,935.83 and 205,094.58

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Solution

The fourth proportional to 441,585.83, 661,935.83 and 205,094.58 is: 307,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,585.83 : 661,935.83 = 205,094.58 : x
  2. Step 2: Convert to fraction form
    441,585.83/661,935.83 = 205,094.58/x
  3. Step 3: Cross multiply
    441,585.83x = 661,935.83 × 205,094.58
  4. Step 4: Simplify right side
    441,585.83x = 135,759,450,015.33
  5. Step 5: Solve for x
    x = 135,759,450,015.33/441,585.83
  6. Step 6: Final answer
    x = 307,436.16

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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.