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Finding the Fourth Proportional to 536,645.72, 804,468.30 and 181,411.31

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Solution

The fourth proportional to 536,645.72, 804,468.30 and 181,411.31 is: 271,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,645.72 : 804,468.30 = 181,411.31 : x
  2. Step 2: Convert to fraction form
    536,645.72/804,468.30 = 181,411.31/x
  3. Step 3: Cross multiply
    536,645.72x = 804,468.30 × 181,411.31
  4. Step 4: Simplify right side
    536,645.72x = 145,939,648,156.47
  5. Step 5: Solve for x
    x = 145,939,648,156.47/536,645.72
  6. Step 6: Final answer
    x = 271,947.85

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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.