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Finding the Fourth Proportional to 536,651.56, 805,197.60 and 283,864.48

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Solution

The fourth proportional to 536,651.56, 805,197.60 and 283,864.48 is: 425,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,651.56 : 805,197.60 = 283,864.48 : x
  2. Step 2: Convert to fraction form
    536,651.56/805,197.60 = 283,864.48/x
  3. Step 3: Cross multiply
    536,651.56x = 805,197.60 × 283,864.48
  4. Step 4: Simplify right side
    536,651.56x = 228,566,998,021.25
  5. Step 5: Solve for x
    x = 228,566,998,021.25/536,651.56
  6. Step 6: Final answer
    x = 425,913.23

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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.