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Finding the Fourth Proportional to 523,029.74, 784,676.37 and 149,051.66

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Solution

The fourth proportional to 523,029.74, 784,676.37 and 149,051.66 is: 223,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,029.74 : 784,676.37 = 149,051.66 : x
  2. Step 2: Convert to fraction form
    523,029.74/784,676.37 = 149,051.66/x
  3. Step 3: Cross multiply
    523,029.74x = 784,676.37 × 149,051.66
  4. Step 4: Simplify right side
    523,029.74x = 116,957,315,511.27
  5. Step 5: Solve for x
    x = 116,957,315,511.27/523,029.74
  6. Step 6: Final answer
    x = 223,615.04

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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.