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Finding the Fourth Proportional to 361,186.00, 498,435.43 and 208,223.46

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Solution

The fourth proportional to 361,186.00, 498,435.43 and 208,223.46 is: 287,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,186.00 : 498,435.43 = 208,223.46 : x
  2. Step 2: Convert to fraction form
    361,186.00/498,435.43 = 208,223.46/x
  3. Step 3: Cross multiply
    361,186.00x = 498,435.43 × 208,223.46
  4. Step 4: Simplify right side
    361,186.00x = 103,785,949,837.46
  5. Step 5: Solve for x
    x = 103,785,949,837.46/361,186.00
  6. Step 6: Final answer
    x = 287,347.66

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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.