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Finding the Fourth Proportional to 468,509.44, 702,761.82 and 113,523.52

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Solution

The fourth proportional to 468,509.44, 702,761.82 and 113,523.52 is: 170,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,509.44 : 702,761.82 = 113,523.52 : x
  2. Step 2: Convert to fraction form
    468,509.44/702,761.82 = 113,523.52/x
  3. Step 3: Cross multiply
    468,509.44x = 702,761.82 × 113,523.52
  4. Step 4: Simplify right side
    468,509.44x = 79,779,995,528.01
  5. Step 5: Solve for x
    x = 79,779,995,528.01/468,509.44
  6. Step 6: Final answer
    x = 170,284.71

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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.