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Finding the Fourth Proportional to 461,180.43, 691,980.81 and 236,698.47

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Solution

The fourth proportional to 461,180.43, 691,980.81 and 236,698.47 is: 355,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,180.43 : 691,980.81 = 236,698.47 : x
  2. Step 2: Convert to fraction form
    461,180.43/691,980.81 = 236,698.47/x
  3. Step 3: Cross multiply
    461,180.43x = 691,980.81 × 236,698.47
  4. Step 4: Simplify right side
    461,180.43x = 163,790,798,996.36
  5. Step 5: Solve for x
    x = 163,790,798,996.36/461,180.43
  6. Step 6: Final answer
    x = 355,155.57

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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.