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Finding the Fourth Proportional to 541,591.84, 747,438.82 and 299,896.90

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Solution

The fourth proportional to 541,591.84, 747,438.82 and 299,896.90 is: 413,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,591.84 : 747,438.82 = 299,896.90 : x
  2. Step 2: Convert to fraction form
    541,591.84/747,438.82 = 299,896.90/x
  3. Step 3: Cross multiply
    541,591.84x = 747,438.82 × 299,896.90
  4. Step 4: Simplify right side
    541,591.84x = 224,154,579,820.98
  5. Step 5: Solve for x
    x = 224,154,579,820.98/541,591.84
  6. Step 6: Final answer
    x = 413,881.02

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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.