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Finding the Fourth Proportional to 541,205.49, 746,852.40 and 299,487.90

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Solution

The fourth proportional to 541,205.49, 746,852.40 and 299,487.90 is: 413,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,205.49 : 746,852.40 = 299,487.90 : x
  2. Step 2: Convert to fraction form
    541,205.49/746,852.40 = 299,487.90/x
  3. Step 3: Cross multiply
    541,205.49x = 746,852.40 × 299,487.90
  4. Step 4: Simplify right side
    541,205.49x = 223,673,256,885.96
  5. Step 5: Solve for x
    x = 223,673,256,885.96/541,205.49
  6. Step 6: Final answer
    x = 413,287.12

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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.