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Finding the Fourth Proportional to 305,006.81, 457,540.64 and 112,932.52

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Solution

The fourth proportional to 305,006.81, 457,540.64 and 112,932.52 is: 169,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,006.81 : 457,540.64 = 112,932.52 : x
  2. Step 2: Convert to fraction form
    305,006.81/457,540.64 = 112,932.52/x
  3. Step 3: Cross multiply
    305,006.81x = 457,540.64 × 112,932.52
  4. Step 4: Simplify right side
    305,006.81x = 51,671,214,625.25
  5. Step 5: Solve for x
    x = 51,671,214,625.25/305,006.81
  6. Step 6: Final answer
    x = 169,410.04

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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.