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Finding the Fourth Proportional to 541,377.82, 747,102.81 and 299,677.06

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Solution

The fourth proportional to 541,377.82, 747,102.81 and 299,677.06 is: 413,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,377.82 : 747,102.81 = 299,677.06 : x
  2. Step 2: Convert to fraction form
    541,377.82/747,102.81 = 299,677.06/x
  3. Step 3: Cross multiply
    541,377.82x = 747,102.81 × 299,677.06
  4. Step 4: Simplify right side
    541,377.82x = 223,889,573,618.54
  5. Step 5: Solve for x
    x = 223,889,573,618.54/541,377.82
  6. Step 6: Final answer
    x = 413,555.13

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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.