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Finding the Fourth Proportional to 361,255.33, 541,685.71 and 286,853.41

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Solution

The fourth proportional to 361,255.33, 541,685.71 and 286,853.41 is: 430,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,255.33 : 541,685.71 = 286,853.41 : x
  2. Step 2: Convert to fraction form
    361,255.33/541,685.71 = 286,853.41/x
  3. Step 3: Cross multiply
    361,255.33x = 541,685.71 × 286,853.41
  4. Step 4: Simplify right side
    361,255.33x = 155,384,393,061.77
  5. Step 5: Solve for x
    x = 155,384,393,061.77/361,255.33
  6. Step 6: Final answer
    x = 430,123.46

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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.