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Finding the Fourth Proportional to 519,052.72, 778,511.76 and 164,102.56

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Solution

The fourth proportional to 519,052.72, 778,511.76 and 164,102.56 is: 246,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,052.72 : 778,511.76 = 164,102.56 : x
  2. Step 2: Convert to fraction form
    519,052.72/778,511.76 = 164,102.56/x
  3. Step 3: Cross multiply
    519,052.72x = 778,511.76 × 164,102.56
  4. Step 4: Simplify right side
    519,052.72x = 127,755,772,806.11
  5. Step 5: Solve for x
    x = 127,755,772,806.11/519,052.72
  6. Step 6: Final answer
    x = 246,132.56

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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.