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Finding the Fourth Proportional to 298,737.56, 448,081.77 and 98,992.64

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Solution

The fourth proportional to 298,737.56, 448,081.77 and 98,992.64 is: 148,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,737.56 : 448,081.77 = 98,992.64 : x
  2. Step 2: Convert to fraction form
    298,737.56/448,081.77 = 98,992.64/x
  3. Step 3: Cross multiply
    298,737.56x = 448,081.77 × 98,992.64
  4. Step 4: Simplify right side
    298,737.56x = 44,356,797,348.17
  5. Step 5: Solve for x
    x = 44,356,797,348.17/298,737.56
  6. Step 6: Final answer
    x = 148,480.82

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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.