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Finding the Fourth Proportional to 385,235.31, 531,595.84 and 215,436.63

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Solution

The fourth proportional to 385,235.31, 531,595.84 and 215,436.63 is: 297,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,235.31 : 531,595.84 = 215,436.63 : x
  2. Step 2: Convert to fraction form
    385,235.31/531,595.84 = 215,436.63/x
  3. Step 3: Cross multiply
    385,235.31x = 531,595.84 × 215,436.63
  4. Step 4: Simplify right side
    385,235.31x = 114,525,216,291.62
  5. Step 5: Solve for x
    x = 114,525,216,291.62/385,235.31
  6. Step 6: Final answer
    x = 297,286.39

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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.