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Finding the Fourth Proportional to 517,703.92, 776,910.54 and 180,744.61

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Solution

The fourth proportional to 517,703.92, 776,910.54 and 180,744.61 is: 271,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,703.92 : 776,910.54 = 180,744.61 : x
  2. Step 2: Convert to fraction form
    517,703.92/776,910.54 = 180,744.61/x
  3. Step 3: Cross multiply
    517,703.92x = 776,910.54 × 180,744.61
  4. Step 4: Simplify right side
    517,703.92x = 140,422,392,557.19
  5. Step 5: Solve for x
    x = 140,422,392,557.19/517,703.92
  6. Step 6: Final answer
    x = 271,240.74

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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.