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Finding the Fourth Proportional to 518,295.96, 777,166.92 and 163,214.64

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Solution

The fourth proportional to 518,295.96, 777,166.92 and 163,214.64 is: 244,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,295.96 : 777,166.92 = 163,214.64 : x
  2. Step 2: Convert to fraction form
    518,295.96/777,166.92 = 163,214.64/x
  3. Step 3: Cross multiply
    518,295.96x = 777,166.92 × 163,214.64
  4. Step 4: Simplify right side
    518,295.96x = 126,845,019,067.71
  5. Step 5: Solve for x
    x = 126,845,019,067.71/518,295.96
  6. Step 6: Final answer
    x = 244,734.72

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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.