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Finding the Fourth Proportional to 457,186.38, 685,843.83 and 190,886.28

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Solution

The fourth proportional to 457,186.38, 685,843.83 and 190,886.28 is: 286,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,186.38 : 685,843.83 = 190,886.28 : x
  2. Step 2: Convert to fraction form
    457,186.38/685,843.83 = 190,886.28/x
  3. Step 3: Cross multiply
    457,186.38x = 685,843.83 × 190,886.28
  4. Step 4: Simplify right side
    457,186.38x = 130,918,177,369.65
  5. Step 5: Solve for x
    x = 130,918,177,369.65/457,186.38
  6. Step 6: Final answer
    x = 286,356.25

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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.