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Finding the Fourth Proportional to 502,615.92, 753,913.50 and 165,676.80

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Solution

The fourth proportional to 502,615.92, 753,913.50 and 165,676.80 is: 248,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,615.92 : 753,913.50 = 165,676.80 : x
  2. Step 2: Convert to fraction form
    502,615.92/753,913.50 = 165,676.80/x
  3. Step 3: Cross multiply
    502,615.92x = 753,913.50 × 165,676.80
  4. Step 4: Simplify right side
    502,615.92x = 124,905,976,156.80
  5. Step 5: Solve for x
    x = 124,905,976,156.80/502,615.92
  6. Step 6: Final answer
    x = 248,511.78

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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.