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Finding the Fourth Proportional to 298,488.08, 447,732.12 and 98,754.96

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Solution

The fourth proportional to 298,488.08, 447,732.12 and 98,754.96 is: 148,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,488.08 : 447,732.12 = 98,754.96 : x
  2. Step 2: Convert to fraction form
    298,488.08/447,732.12 = 98,754.96/x
  3. Step 3: Cross multiply
    298,488.08x = 447,732.12 × 98,754.96
  4. Step 4: Simplify right side
    298,488.08x = 44,215,767,601.32
  5. Step 5: Solve for x
    x = 44,215,767,601.32/298,488.08
  6. Step 6: Final answer
    x = 148,132.44

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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.