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Finding the Fourth Proportional to 471,013.40, 706,520.10 and 365,907.80

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Solution

The fourth proportional to 471,013.40, 706,520.10 and 365,907.80 is: 548,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,013.40 : 706,520.10 = 365,907.80 : x
  2. Step 2: Convert to fraction form
    471,013.40/706,520.10 = 365,907.80/x
  3. Step 3: Cross multiply
    471,013.40x = 706,520.10 × 365,907.80
  4. Step 4: Simplify right side
    471,013.40x = 258,521,215,446.78
  5. Step 5: Solve for x
    x = 258,521,215,446.78/471,013.40
  6. Step 6: Final answer
    x = 548,861.70

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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.