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Finding the Fourth Proportional to 671,467.80, 1,006,424.10 and 271,846.20

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Solution

The fourth proportional to 671,467.80, 1,006,424.10 and 271,846.20 is: 407,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,467.80 : 1,006,424.10 = 271,846.20 : x
  2. Step 2: Convert to fraction form
    671,467.80/1,006,424.10 = 271,846.20/x
  3. Step 3: Cross multiply
    671,467.80x = 1,006,424.10 × 271,846.20
  4. Step 4: Simplify right side
    671,467.80x = 273,592,567,173.42
  5. Step 5: Solve for x
    x = 273,592,567,173.42/671,467.80
  6. Step 6: Final answer
    x = 407,454.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.