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Finding the Fourth Proportional to 385,550.49, 532,076.30 and 213,468.45

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Solution

The fourth proportional to 385,550.49, 532,076.30 and 213,468.45 is: 294,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,550.49 : 532,076.30 = 213,468.45 : x
  2. Step 2: Convert to fraction form
    385,550.49/532,076.30 = 213,468.45/x
  3. Step 3: Cross multiply
    385,550.49x = 532,076.30 × 213,468.45
  4. Step 4: Simplify right side
    385,550.49x = 113,581,501,778.26
  5. Step 5: Solve for x
    x = 113,581,501,778.26/385,550.49
  6. Step 6: Final answer
    x = 294,595.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.