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Finding the Fourth Proportional to 541,208.12, 746,856 and 299,490.53

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Solution

The fourth proportional to 541,208.12, 746,856 and 299,490.53 is: 413,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,208.12 : 746,856 = 299,490.53 : x
  2. Step 2: Convert to fraction form
    541,208.12/746,856 = 299,490.53/x
  3. Step 3: Cross multiply
    541,208.12x = 746,856 × 299,490.53
  4. Step 4: Simplify right side
    541,208.12x = 223,676,295,539.40
  5. Step 5: Solve for x
    x = 223,676,295,539.40/541,208.12
  6. Step 6: Final answer
    x = 413,290.73

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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.