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Finding the Fourth Proportional to 541,419.40, 747,149.70 and 299,696.77

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Solution

The fourth proportional to 541,419.40, 747,149.70 and 299,696.77 is: 413,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,419.40 : 747,149.70 = 299,696.77 : x
  2. Step 2: Convert to fraction form
    541,419.40/747,149.70 = 299,696.77/x
  3. Step 3: Cross multiply
    541,419.40x = 747,149.70 × 299,696.77
  4. Step 4: Simplify right side
    541,419.40x = 223,918,351,796.47
  5. Step 5: Solve for x
    x = 223,918,351,796.47/541,419.40
  6. Step 6: Final answer
    x = 413,576.52

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1.5x scale

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.