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Finding the Fourth Proportional to 541,369.74, 747,071.19 and 299,652.78

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Solution

The fourth proportional to 541,369.74, 747,071.19 and 299,652.78 is: 413,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,369.74 : 747,071.19 = 299,652.78 : x
  2. Step 2: Convert to fraction form
    541,369.74/747,071.19 = 299,652.78/x
  3. Step 3: Cross multiply
    541,369.74x = 747,071.19 × 299,652.78
  4. Step 4: Simplify right side
    541,369.74x = 223,861,958,941.41
  5. Step 5: Solve for x
    x = 223,861,958,941.41/541,369.74
  6. Step 6: Final answer
    x = 413,510.29

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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.