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Finding the Fourth Proportional to 541,373.49, 747,076.37 and 299,656.53

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Solution

The fourth proportional to 541,373.49, 747,076.37 and 299,656.53 is: 413,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,373.49 : 747,076.37 = 299,656.53 : x
  2. Step 2: Convert to fraction form
    541,373.49/747,076.37 = 299,656.53/x
  3. Step 3: Cross multiply
    541,373.49x = 747,076.37 × 299,656.53
  4. Step 4: Simplify right side
    541,373.49x = 223,866,311,180.91
  5. Step 5: Solve for x
    x = 223,866,311,180.91/541,373.49
  6. Step 6: Final answer
    x = 413,515.47

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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.