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Finding the Fourth Proportional to 305,504.29, 458,296.71 and 113,352.58

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Solution

The fourth proportional to 305,504.29, 458,296.71 and 113,352.58 is: 170,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,504.29 : 458,296.71 = 113,352.58 : x
  2. Step 2: Convert to fraction form
    305,504.29/458,296.71 = 113,352.58/x
  3. Step 3: Cross multiply
    305,504.29x = 458,296.71 × 113,352.58
  4. Step 4: Simplify right side
    305,504.29x = 51,949,114,631.81
  5. Step 5: Solve for x
    x = 51,949,114,631.81/305,504.29
  6. Step 6: Final answer
    x = 170,043.81

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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.