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Finding the Fourth Proportional to 298,042.80, 447,064.20 and 264,865.20

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Solution

The fourth proportional to 298,042.80, 447,064.20 and 264,865.20 is: 397,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,042.80 : 447,064.20 = 264,865.20 : x
  2. Step 2: Convert to fraction form
    298,042.80/447,064.20 = 264,865.20/x
  3. Step 3: Cross multiply
    298,042.80x = 447,064.20 × 264,865.20
  4. Step 4: Simplify right side
    298,042.80x = 118,411,748,745.84
  5. Step 5: Solve for x
    x = 118,411,748,745.84/298,042.80
  6. Step 6: Final answer
    x = 397,297.80

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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.