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Finding the Fourth Proportional to 305,006.31, 457,539.89 and 112,932.02

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Solution

The fourth proportional to 305,006.31, 457,539.89 and 112,932.02 is: 169,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,006.31 : 457,539.89 = 112,932.02 : x
  2. Step 2: Convert to fraction form
    305,006.31/457,539.89 = 112,932.02/x
  3. Step 3: Cross multiply
    305,006.31x = 457,539.89 × 112,932.02
  4. Step 4: Simplify right side
    305,006.31x = 51,670,901,155.92
  5. Step 5: Solve for x
    x = 51,670,901,155.92/305,006.31
  6. Step 6: Final answer
    x = 169,409.29

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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.