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Finding the Fourth Proportional to 361,879.04, 541,960.51 and 286,757.64

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Solution

The fourth proportional to 361,879.04, 541,960.51 and 286,757.64 is: 429,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,879.04 : 541,960.51 = 286,757.64 : x
  2. Step 2: Convert to fraction form
    361,879.04/541,960.51 = 286,757.64/x
  3. Step 3: Cross multiply
    361,879.04x = 541,960.51 × 286,757.64
  4. Step 4: Simplify right side
    361,879.04x = 155,411,316,820.80
  5. Step 5: Solve for x
    x = 155,411,316,820.80/361,879.04
  6. Step 6: Final answer
    x = 429,456.53

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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.