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Finding the Fourth Proportional to 298,271.43, 447,477.22 and 98,591.82

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Solution

The fourth proportional to 298,271.43, 447,477.22 and 98,591.82 is: 147,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,271.43 : 447,477.22 = 98,591.82 : x
  2. Step 2: Convert to fraction form
    298,271.43/447,477.22 = 98,591.82/x
  3. Step 3: Cross multiply
    298,271.43x = 447,477.22 × 98,591.82
  4. Step 4: Simplify right side
    298,271.43x = 44,117,593,528.34
  5. Step 5: Solve for x
    x = 44,117,593,528.34/298,271.43
  6. Step 6: Final answer
    x = 147,910.89

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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.