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Finding the Fourth Proportional to 541,369.14, 747,096.03 and 299,674.26

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Solution

The fourth proportional to 541,369.14, 747,096.03 and 299,674.26 is: 413,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,369.14 : 747,096.03 = 299,674.26 : x
  2. Step 2: Convert to fraction form
    541,369.14/747,096.03 = 299,674.26/x
  3. Step 3: Cross multiply
    541,369.14x = 747,096.03 × 299,674.26
  4. Step 4: Simplify right side
    541,369.14x = 223,885,449,939.19
  5. Step 5: Solve for x
    x = 223,885,449,939.19/541,369.14
  6. Step 6: Final answer
    x = 413,554.14

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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.