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Finding the Fourth Proportional to 541,378.99, 747,083.95 and 299,662.03

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Solution

The fourth proportional to 541,378.99, 747,083.95 and 299,662.03 is: 413,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,378.99 : 747,083.95 = 299,662.03 : x
  2. Step 2: Convert to fraction form
    541,378.99/747,083.95 = 299,662.03/x
  3. Step 3: Cross multiply
    541,378.99x = 747,083.95 × 299,662.03
  4. Step 4: Simplify right side
    541,378.99x = 223,872,693,037.42
  5. Step 5: Solve for x
    x = 223,872,693,037.42/541,378.99
  6. Step 6: Final answer
    x = 413,523.05

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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.