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Finding the Fourth Proportional to 298,006.92, 446,841.90 and 272,587.23

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Solution

The fourth proportional to 298,006.92, 446,841.90 and 272,587.23 is: 408,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,006.92 : 446,841.90 = 272,587.23 : x
  2. Step 2: Convert to fraction form
    298,006.92/446,841.90 = 272,587.23/x
  3. Step 3: Cross multiply
    298,006.92x = 446,841.90 × 272,587.23
  4. Step 4: Simplify right side
    298,006.92x = 121,803,395,768.94
  5. Step 5: Solve for x
    x = 121,803,395,768.94/298,006.92
  6. Step 6: Final answer
    x = 408,726.74

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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.