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Finding the Fourth Proportional to 362,184.77, 499,837.66 and 201,042.51

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Solution

The fourth proportional to 362,184.77, 499,837.66 and 201,042.51 is: 277,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184.77 : 499,837.66 = 201,042.51 : x
  2. Step 2: Convert to fraction form
    362,184.77/499,837.66 = 201,042.51/x
  3. Step 3: Cross multiply
    362,184.77x = 499,837.66 × 201,042.51
  4. Step 4: Simplify right side
    362,184.77x = 100,488,617,758.93
  5. Step 5: Solve for x
    x = 100,488,617,758.93/362,184.77
  6. Step 6: Final answer
    x = 277,451.25

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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.