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Finding the Fourth Proportional to 541,137.64, 747,070.26 and 326,332.12

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Solution

The fourth proportional to 541,137.64, 747,070.26 and 326,332.12 is: 450,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,137.64 : 747,070.26 = 326,332.12 : x
  2. Step 2: Convert to fraction form
    541,137.64/747,070.26 = 326,332.12/x
  3. Step 3: Cross multiply
    541,137.64x = 747,070.26 × 326,332.12
  4. Step 4: Simplify right side
    541,137.64x = 243,793,021,734.75
  5. Step 5: Solve for x
    x = 243,793,021,734.75/541,137.64
  6. Step 6: Final answer
    x = 450,519.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.