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Finding the Fourth Proportional to 457,151.54, 685,836.79 and 190,763.87

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Solution

The fourth proportional to 457,151.54, 685,836.79 and 190,763.87 is: 286,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,151.54 : 685,836.79 = 190,763.87 : x
  2. Step 2: Convert to fraction form
    457,151.54/685,836.79 = 190,763.87/x
  3. Step 3: Cross multiply
    457,151.54x = 685,836.79 × 190,763.87
  4. Step 4: Simplify right side
    457,151.54x = 130,832,876,342.68
  5. Step 5: Solve for x
    x = 130,832,876,342.68/457,151.54
  6. Step 6: Final answer
    x = 286,191.48

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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.