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Finding the Fourth Proportional to 536,421.66, 804,623.37 and 283,648.20

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Solution

The fourth proportional to 536,421.66, 804,623.37 and 283,648.20 is: 425,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,421.66 : 804,623.37 = 283,648.20 : x
  2. Step 2: Convert to fraction form
    536,421.66/804,623.37 = 283,648.20/x
  3. Step 3: Cross multiply
    536,421.66x = 804,623.37 × 283,648.20
  4. Step 4: Simplify right side
    536,421.66x = 228,229,970,578.43
  5. Step 5: Solve for x
    x = 228,229,970,578.43/536,421.66
  6. Step 6: Final answer
    x = 425,467.48

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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.