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Finding the Fourth Proportional to 551,556.98, 827,383.16 and 152,197.77

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Solution

The fourth proportional to 551,556.98, 827,383.16 and 152,197.77 is: 228,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,556.98 : 827,383.16 = 152,197.77 : x
  2. Step 2: Convert to fraction form
    551,556.98/827,383.16 = 152,197.77/x
  3. Step 3: Cross multiply
    551,556.98x = 827,383.16 × 152,197.77
  4. Step 4: Simplify right side
    551,556.98x = 125,925,871,126.56
  5. Step 5: Solve for x
    x = 125,925,871,126.56/551,556.98
  6. Step 6: Final answer
    x = 228,309.82

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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.