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Finding the Fourth Proportional to 323,424.02, 446,286.42 and 185,595.86

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Solution

The fourth proportional to 323,424.02, 446,286.42 and 185,595.86 is: 256,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,424.02 : 446,286.42 = 185,595.86 : x
  2. Step 2: Convert to fraction form
    323,424.02/446,286.42 = 185,595.86/x
  3. Step 3: Cross multiply
    323,424.02x = 446,286.42 × 185,595.86
  4. Step 4: Simplify right side
    323,424.02x = 82,828,913,041.94
  5. Step 5: Solve for x
    x = 82,828,913,041.94/323,424.02
  6. Step 6: Final answer
    x = 256,100.06

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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.