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Finding the Fourth Proportional to 326,193.64, 449,730.66 and 211,269.32

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Solution

The fourth proportional to 326,193.64, 449,730.66 and 211,269.32 is: 291,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,193.64 : 449,730.66 = 211,269.32 : x
  2. Step 2: Convert to fraction form
    326,193.64/449,730.66 = 211,269.32/x
  3. Step 3: Cross multiply
    326,193.64x = 449,730.66 × 211,269.32
  4. Step 4: Simplify right side
    326,193.64x = 95,014,290,721.35
  5. Step 5: Solve for x
    x = 95,014,290,721.35/326,193.64
  6. Step 6: Final answer
    x = 291,281.86

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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.